{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Spam dataset with ensemble methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import utils\n",
    "\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn import tree\n",
    "\n",
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The spam email dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Lottery</th>\n",
       "      <th>Sale</th>\n",
       "      <th>Spam</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>8</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>9</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>4</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>3</td>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>9</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>10</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>5</td>\n",
       "      <td>9</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>10</td>\n",
       "      <td>8</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Lottery  Sale  Spam\n",
       "0         7     8     1\n",
       "1         3     2     0\n",
       "2         8     4     1\n",
       "3         2     6     0\n",
       "4         6     5     1\n",
       "5         9     6     1\n",
       "6         8     5     0\n",
       "7         7     1     0\n",
       "8         1     9     1\n",
       "9         4     7     0\n",
       "10        1     3     0\n",
       "11        3    10     1\n",
       "12        2     2     1\n",
       "13        9     3     0\n",
       "14        5     3     0\n",
       "15       10     1     0\n",
       "16        5     9     1\n",
       "17       10     8     1"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "emails = np.array([\n",
    "    [7,8,1],\n",
    "    [3,2,0],\n",
    "    [8,4,1],\n",
    "    [2,6,0],\n",
    "    [6,5,1],\n",
    "    [9,6,1],\n",
    "    [8,5,0],\n",
    "    [7,1,0],\n",
    "    [1,9,1],\n",
    "    [4,7,0],\n",
    "    [1,3,0],\n",
    "    [3,10,1],\n",
    "    [2,2,1],\n",
    "    [9,3,0],\n",
    "    [5,3,0],\n",
    "    [10,1,0],\n",
    "    [5,9,1],\n",
    "    [10,8,1],\n",
    "])\n",
    "spam_dataset = pd.DataFrame(data=emails, columns=[\"Lottery\", \"Sale\", \"Spam\"])\n",
    "spam_dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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n3JXUVoZ55/JQjyQVxuCXpMIY/JJUGINfkgpj8EtSYQx+SSqMwS9JhTH4Gw7u7SUiJrwd3Ntbdak6AO7nMrif984LuBpe2LaNZq5hjm3bWl6LWsf9XAb3897Z8UtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPySVBiDX5IKY/A3zO7pIWDC2+yenspq1IFzP5fB/bx3Xrnb8PzWrVWXoDZwP5fB/bx3dvySVBiDX5IKY/BLUmEMfkkqjMEvSYUx+CWpMAa/JBXG4Jekwhj8HahWq/Guo49m8+bNLd2O85JKZTL4O9CqgQE2bdnCqoGBlm5nbF7SiW4vFDovqdSt2h78EXF4RNwbEesjYl1EfKHdNXSyWq3G6sFB3rjnHlYPDra865dUnio6/teAL2bmMcD7gD+LiGMrqKMjrRoY4I0VK2DZMl6/4IKWd/2SytP24M/MWmY+2Ph9G7AeWNDuOjrRWLc/2t8PwGh/v12/pElX6TH+iOgDlgEP7OGxCyNiKCKGRkZG2l1aJXZ0+/Pn1xfMn2/XL2nSRWZWs+GIWcB9wOWZedve1l2+fHkODQ21p7CK1Go1Fi9Zwivr1r0Z/PUHmLl0KRvWrWPevHmTus2IoJm9H0BV/51I2n8RsTYzl++6vJKOPyKmA7cCN00U+qXYrdsfY9cvaZK1veOPiAAGgecz89JmntPtHf+43f6bK7Sk67fjl7pbJ3X8pwCfAT4WEQ83bh+voI6OMW63P8auX9IkquwY/77o9o5/4eLFPLNx44TrLVi0iOENGyZtuwf39jZ1cdbsnh6nspOmoPE6fufc7QCTGeb7wjCXyuSQDZJUGINfkgpj8EtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPxSl3Nu5faZKp+1V+5KXW5sbuWJhHMrH7Cp8lnb8UtSYQx+SSqMwS9JhTH4JakwBr8kFcbgl6TCGPySVBiDX5IKY/BLXW52Tw8BE95m9/RUVmO3mCqftVfuSl3OuZXbZ6p81nb8klQYg1+SCmPwS1JhDH5JKozBL0mFMfglqTAGvyQVxuCXpMIY/JJUGINfkgpTSfBHxBkR8UREPBURX6miBkkqVduDPyKmAd8GzgSOBc6PiGPbXYcklaqKjv9E4KnM3JCZo8APgLMqqEOSilTF6JwLgKd3uj8MnLTrShFxIXBh4+6rEfFYG2rrJHOB31RdRJuV9p5Le7/ge263I/a0sIrgjz0sy90WZF4HXAcQEUOZubzVhXUS33P3K+39gu+5U1RxqGcYOHyn+wuB/1tBHZJUpCqC/5+Ad0fEooj4PeA84I4K6pCkIrX9UE9mvhYRFwN/C0wDbsjMdRM87brWV9ZxfM/dr7T3C77njhCZux1elyR1Ma/claTCGPySVJiODv7ShnaIiMMj4t6IWB8R6yLiC1XX1C4RMS0iHoqIu6qupR0i4p0RcUtE/Etjf59cdU2tFhGXNf67fiwibo6IGVXXNNki4oaI2LLzdUcRcXBE/Dginmz8nF1ljdDBwV/o0A6vAV/MzGOA9wF/VsB7HvMFYH3VRbTRNcDfZObRwHvo8vceEQuAPweWZ+ZS6l/sOK/aqlriRuCMXZZ9BbgnM98N3NO4X6mODX4KHNohM2uZ+WDj923Uw2BBtVW1XkQsBD4BXF91Le0QEb3Ah4DvAmTmaGb+ttqq2uJtwMyIeBvw+3Th9TuZ+ffA87ssPgsYbPw+CJzd1qL2oJODf09DO3R9CI6JiD5gGfBAtZW0xdVAP/BG1YW0yWJgBFjdOLx1fUS8o+qiWikznwH+Evg1UANezMy/q7aqtjk0M2tQb+6AP6i4no4O/qaGduhGETELuBW4NDO3Vl1PK0XEJ4Etmbm26lra6G3AHwL/NTOXAb+jA/78b6XGce2zgEXAYcA7IuLT1VZVrk4O/iKHdoiI6dRD/6bMvK3qetrgFOCPI2IT9cN5H4uI71dbUssNA8OZOfbX3C3U/yHoZqcBGzNzJDO3A7cB76+4pnZ5NiLmAzR+bqm4no4O/uKGdoiIoH7cd31mXll1Pe2Qmf8xMxdmZh/1ffzTzOzqTjAzNwNPR8RRjUWnAo9XWFI7/Bp4X0T8fuO/81Pp8hPaO7kDWNH4fQWwpsJagGpG52zKfg7tMNWdAnwGeDQiHm4s+0+Z+T8rrEmtcQlwU6Op2QB8ruJ6WiozH4iIW4AHqX977SE6cCiDAxURNwMfAeZGxDDwn4ErgP8REZ+n/g/gOdVVWOeQDZJUmE4+1CNJagGDX5IKY/BLUmEMfkkqjMEvSYUx+FW0iHhpH9Y9e+dB8yLisxFxWGsqk1rH4Jeadzb1kWLHfJb68ANNawxQJlXK7/GraBHxUmbO2mXZEcANwCHUB1P7HPUhQ+4CXmzcbga+CjwDvAycTP0fhSuBWcBvgM9mZi0i/hfwj9Qv0Psp9X8wjszM7Y2ROh8B3t0YykBqObsPaXfXAt/LzMGI+FPgm5l5dkTcAdyVmbcARMSZwJcyc6gxxtK3gLMycyQizgUuB/608ZrvzMwPN57XR30Y6tupD1Nxq6GvdjL4pd2dDPxJ4/f/Dgw08ZyjgKXAj+tD0TCN+vDDY3640+/XUx+G+nbqf038+wOsV9onBr80sWaOhwawLjPHm0LxdzteLPMfIqIvIj4MTMvMx8Z5jtQSntyVdvePvDkt4L8F/nfj921Az07r7Xz/CeCQsblzI2J6RCzZyza+R/08werJKlpqlid3VbSIeIO3zvNwJfWx4m8A5tI4uZuZv46IU4C/Al4FPgWcAPwFb57cPQr4JvCvqP81fXVm/lXj5O6XMnNop+3OAzYC8wuZdlEdxOCXKhARn6J+IvgzVdei8niMX2qziPgWcCbw8aprUZns+CWpMJ7claTCGPySVBiDX5IKY/BLUmEMfkkqzP8HDjUTmnDIXOgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "features = spam_dataset[['Lottery', 'Sale']]\n",
    "labels = spam_dataset['Spam']\n",
    "utils.plot_points(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decision_tree_classifier = DecisionTreeClassifier(random_state=0)\n",
    "decision_tree_classifier.fit(features, labels)\n",
    "decision_tree_classifier.score(features, labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training a decision tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luisserrano/anaconda3/lib/python3.7/site-packages/sklearn/externals/six.py:31: FutureWarning: The module is deprecated in version 0.21 and will be removed in version 0.23 since we've dropped support for Python 2.7. Please rely on the official version of six (https://pypi.org/project/six/).\n",
      "  \"(https://pypi.org/project/six/).\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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XrlzZs2fP48ePQ0NDhYWFBw8eHBkZaW1tze28AAAAsAO1KQCgfxITE9u3b9++ffsqKyvJZDIeD9uSAABAHwC/rAEA/ZyYmBinCtOoqKhr165xpKveQaVS6+vruZ0FAAB0AdSmAADQWfv379+wYQO3s/gPLS0tLy+v1u2PHj0aPHiwkJCQsLCwurr6sWPH6HR676cHAABdBbUpAAD0VaGhoVlZWa3bnz59OmHChNzcXHd396VLl9bX169YsWLHjh29nyEAAHQV1KYAANDHFBQUeHl5DRo0yN3dvc2AXbt2MRiM9+/fnzp16tixY5mZmaKiokFBQTQarZdTBQCAroLaFADQBzQ0NPj5+WloaPDz82tpaS1evLi6upp59fnz58uWLdPW1lZRUZk9e/bJkyeZRZiXl5ebm1tWVpanp6eKisqYMWPCwsIQQgcPHjQzM5OVlZ04cWJmZiazKxcXlz179rx588bFxUVGRsbAwGDfvn3tPQ2vqKhYunSpoaGhvLz81KlTo6KiOp/z76iurs7IyBATEzM3N28zID8/X1lZWUNDA/tIJpOHDh3a3Nzc0NDAkQQAAKAHMQAAgHtmzJgxY8aMDsPc3d0JBMKCBQsOHz68cuVKQUFBKysr7FJMTAyBQJCUlFy+fPn27duHDx+OENqwYQN2dciQIfLy8oqKivr6+vPmzSORSDgcbuLEiUQi0dHRccqUKSQSSVVVFTsmlMFgSElJaWhoiImJOTs7b9q0aciQIQihhQsXYldtbGyUlZWxn/Pz89XU1ISFhb29vX19fU1NTfF4fHBwcGdy5hSsqvb09GzRvm7dOoTQ/fv3sY9paWkEAsHOzq7DDq9fvw7/LgAAuAt+BwEAuKkztWlDQwMfH5+joyOz5fDhwwih9PR0BoPh5eXFz89fXl6OXaqvr1dQUNDV1cU+YsXl7t27sY/Y1KagoCB2L4PBcHNzY3bFYDCkpKQQQgcPHsQ+0mi00aNH43C4Dx8+MP5bm7q6uiKE3r59i31sbGwcM2YMiUSiUCgd5syqpKRkR/u+fPnC5k+mvdo0Nzd30KBBOBxu+PDhY8eOxePxysrK2FdgD2pTAADXwe8gAAA3daY2ra2t5ePjExUV/fjxI9ZCo9FqamqoVCqDwfj69WtycjIzuLKyUk9PT1FREfs4ZMgQAoHQ2NiIfSwsLEQITZo0iRl//vx5hNDt27exj1JSUuLi4nQ6nRnw+PFjhNCePXsYLLUphULB4XDm5uaseV69ehUhFBIS0mHOrFJTU9k82rp69SqbP5n2atOKigonJyeEEIlEEhYWRgipqak9e/aMTVcYqE0BAFwHe+8DAHidkJCQn5/fli1bBg8erKenN3r0aHt7ezs7OwKBgBDS1dWlUChBQUFxcXG5ubmZmZlVVVWKiorM2xUVFUkkEvazgIAA1sK8inXS1NTEbNHS0sLhcMyPBgYGCKHs7GzWlLDpz5qaGhcXF2ZjVVUVM5J9zqx0dXXr6ura++7MzLtk5MiRnz9/PnHixKxZswQEBKKjo728vCZNmpSSkqKmptaNDgEAoNfAWigAQB+wefPmrKysrVu3CgkJnTx5cvLkyQYGBj9//kQIBQYGKisr79q1q7m5edy4caGhodgrp0zYxCEr9lvxKygotL4dK2qZKBQKQoifn5+PhZSUlKurK1bLss+ZFQ6HE2xf61q2Q1+/fv38+fOoUaO8vb0lJCQEBQWnTp26YMGCurq6W7dudbU3AADoZTBvCgDgdU1NTXV1dWpqajt37ty5c+fPnz/9/f2PHTt29OjR1atX+/r6ysjIZGZmkslkLN7f3/93hmuxY2hubi5CSEdHh7Vx4MCBCCEtLS1s1T+GRqNVV1cLCQmxz7lFej9//ty1a1d7yXh4eJiZmXUp/+TkZISQjY0Na6Otre3BgwfLy8u71BUAAPQ+mDcFAPC6mJgYCQkJ7G1OhJC8vDx2OFN5eXleXh6dTp86dSqzMM3Pz09KSvqd4TIyMlh3lcJeSB00aBBrjKampoyMzMOHD5ubm5mNAQEBEhIS7969Y59zi+EqKirOtK/FuwSdoa+vjxC6efMma2N4eDhCyMjIqKu9AQBAL4N5UwAArxs+fLisrOzOnTuVlZVNTU2zsrKwqcdJkybp6OiIiIhcv3594sSJurq6r1+/3rp1q6ioaE1NTXp6eovJzk6i0WjOzs67d+/W1ta+devWkSNHZs6cOXLkSNYYEokUEBDg6ek5d+5cHx8fUVHRO3fu7N6929bWFnujgE3OLYbT1dVtbGzs5h9NWwwMDMaPH//o0aMJEybMnTtXTU3t9u3bV69eNTAwcHZ25uBAAADQE6A2BQDwOjKZfPnyZTc3t9GjR2MtAgIC/v7+WJ137tw5Dw8PR0dHhJCkpGRwcLCwsLCbm5uhoSHrpGbnjR07VklJafr06diW+6NGjTpx4kTrsIULF9bV1W3cuBGbkiQSiZ6env7+/tg6KvY59yg8Hn/16tUVK1ZcvXr14cOHWKO1tfW5c+e6t7IKAAB6E47BYHA7BwDAn2vmzJno/584s1dXV5ecnPz9+3dpaWlDQ0NZWVnmJQqFkpiYqKCgoK+vj5WGFAqlvLxcU1Ozq/lIS0ubm5tHR0eXl5d/+PBBSUkJe0Tenurq6sTExJqaGiMjIxUVlc7n3AsKCgpSUlLq6+t1dXV1dHRYNx9oT3h4uIuLC/y7AADgIqhNAQDc1PnatHcwa1NuJ8IdUJsCALgO1kIBAAAAAABeAbUpAAD8j4KCgrS0NLezAACAPxeshQIA9H9RUVFVVVWzZs3qMPLz5889nczp06dLSkoQQnp6elOnTmW2U6lUAoHQmbdC29T69kePHr1//x4hJCgouHbt2t/LGgAAegnMmwIA+r/9+/dj24vygsOHD+/Zsyc0NPT58+dYS1RU1ODBg0VEROTk5GbNmvXy5csuddje7fHx8aGhofv27fvNwwgAAKA3QW0KAAC9zdraOjMz88iRIwihq1evTp48uaKiYsOGDZMnT753756Dg0N6enonu2Jz+9atWzMzM6dMmdKD3wQAADgNnukDAADXNDU1bdiwQVhY+OPHj+Li4gihvXv3Kisrz5o1KzExsadvBwAAHgTzpgCAvmHFihUjR44sKipibVy0aNH48eObmpoQQs+fP1+2bJm2traKisrs2bNPnjxJo9Ha7Gr+/Plz585lbdm7d+/IkSOpVCr2saKiYunSpYaGhvLy8lOnTo2KiuqZ74RSU1MLCwvt7e2xyhIhJCsrO378+KSkpMrKyp6+HQAAeBDUpgCAvkFTUzM2NvbWrVvMlh8/fpw9e1ZSUpJEIj179mzcuHHXrl2zs7Pz9PTMz8/39vb+66+/2uwqISEhISGBtSUzMzM2NhY7CKqgoMDU1PTixYvW1tbu7u65ubkODg6HDh3qiS/148cPhNDQoUNZG7GPKSkpPX07AADwIHimDwDoG+bMmbN+/fqbN28uW7YMawkPD6fT6e7u7gihq1evEonE7OxsbAbRx8dn4MCBkZGR+/fv7+pAvr6+ubm5b9++tbCwQAjt2LFj4sSJPj4+8+fPl5SUZI0sLS1t8zhTzLRp0wwMDNiPpaGhgRCKiYlZt24dszE1NRUhlJKSMmzYsB69HQAAeBDUpgCAvkFGRmbixIlRUVHFxcXY4Z/Xrl1TUlKytbVFCK1du3bFihXMR9tNTU3i4uLdeK5dVlZ25coVc3NzrDBFCJFIJC8vr5iYmFu3bnl6erIGl5SU+Pn5tdeVtrZ2h7WplpbWkCFDnj59eubMGRcXFzqdHhYWduPGDYRQey8kcPB2AADgQVCbAgC4CYfDYU/SO8PNzS0yMvL27duLFy/Ozc2Nj4//66+/8Hg8QkhXV5dCoQQFBcXFxeXm5mZmZlZVVSkqKnY1n/T0dAaDUVNT4+LiwmysqqpCCGVnZ7cI1tXVraura68rEonU4XB4PP7cuXMODg5eXl6rVq2i0+l0Ot3Ly+vUqVMd1rW/f3trDAaj2xusAgAAR0BtCgDgJhERkRbLm9iYPHmyhITEzZs3Fy9efP36dYTQggULsEuBgYHbtm3j5+e3sbEZN27c5s2bg4KCcnJyOtlzWVkZ9gOFQkEI8fPz8/HxMa9KSUm5urq2rvZwOJygoGAnh2iPkZHR58+fw8PDU1NTFRQUbG1tsX1PO1lc/ubtLVRXV5PJ5G7cCAAAnAK1KQCAm+Tl5d+9e9fJYH5+fhcXlzNnzlAolGvXrg0bNkxbWxshVFJS4uvrKyMjk5mZySyt2Gw433qylrmf6MCBAxFCWlpaYWFhzKs0Gq26ulpISKhFPz9//ty1a1d7o3h4eJiZmbH/Rk1NTTk5OdLS0gsXLmQ27t27V0FBocW7rT1xe2uFhYXy8vLduBEAADgFalMAADcZGxsHBgbW1dW1rvza5ObmdvLkyX379iUlJYWEhGCNeXl5dDp96tSpzMI0Pz8/KSlJTk6uzU7U1NQeP37c3NyMTY6mpKRkZWVhlzQ1NWVkZB4+fMi8ihAKCAjYunXrq1evRowYwdpPRUXFmTNn2kvVxsamw9q0rq5OV1d39uzZV65cwVoKCgoiIiI8PDzY38iR21tLTEw0MjLq3r0AAMAZDAAA4J6ioiI8Hn/nzp3O36KtrU0gEISEhCorK7GWqqoqERERSUnJu3fvZmRknD9/XllZWUJCQlRUNC0tjcFg2NjYKCsrM3vYuXMnQmjOnDnPnj0LCQnR1NSUlpZGCDU2NjIYDKzcnDlzZkJCQmZm5oEDB/j5+W1tbel0Oke+sr6+/oQJE5gfx4wZw8fHd/bs2bKysnfv3g0aNEhdXb2qqgq7evDgQQKBsGPHjvZ6Y387g8HAthfoTGINDQ1kMvn48ePd/WYAAMABUJsCALhs+PDhM2bM6Hw89hh97ty5rI3h4eEiIiLY/3JLSkpeuHDh5s2bwsLCRCKR0ao2ra2tnThxIhaspKTk6+vr6+vLrE0ZDMaRI0cEBASwACKRuGTJEgqFwonvymC0qk1zc3OtrKyY8wWDBw+Oi4tjXj1w4ABCaPv27e31xv52Rldq0+vXrxMIhPz8/K5/JwAA4Bgcg8Ho+clZAABoV1hYmIeHR0pKipaW1u/0Q6FQEhMTFRQU9PX1scXmFAqlvLxcU1OzzfiSkpLCwkITE5M2V6ZXV1cnJibW1NQYGRmpqKj8TmItGBgYqKqqRkdHM1sYDMbnz5+/ffs2ePBgVVXVFvH+/v4DBw6cPXt2ex2yv93Nze3evXvYGi82GAyGpaWlvLz8nTt3uviFAACAk6A2BQBwGY1GMzMzU1FRiYyM5HYuvaF1bcpGVlaWnZ3d8+fPu10fd7I2DQ0N9fT0TEhIMDEx6d5AAADAEXBmKQCAywgEwqFDh+7du9dzx9bzmqSkpJkzZwYHB3cYmZ2dHRkZ2b3C9Pz58zNnznzx4kWHkVVVVZs2bVq8eDEUpgAAroN1+gAA7hs1atTs2bPd3d3j4+PV1NS4nU7PGj9+fH5+PrayqsNgOzu7bg/EYDDodPqQIUPYb1lKp9Pnzp1Lp9OxJWIAAMBd8EwfAMAT6urqRo0aVVNT8+bNG+bRo6AXrFu37sSJEzExMaxrqgAAgFvgmT4AgCcICQlFRERUVFQ4ODh0+HIk4AgGg7F9+/bg4OBz585BYQoA4BFQmwIAeIWKisrjx48LCgosLS3T0tK4nU4/19DQ4OrqumfPnlOnTrHZBAAAAHoZ1KYAAB5iYGAQHx8vIyNjZWV17NgxKpXK7Yz6p9jYWCsrqwcPHkRHR3t5eXE7HQAA+B+oTQEAvEVWVjYmJmbJkiXr1683NTWNioqi0+ncTqr/yMzMdHV1tba2lpWVfffu3dixY7mdEQAA/AeshQIA8KisrKx169bdvXtXQ0Nj2rRpo0ePNjQ0lJaWZp7YBDqDTqeXlZVlZma+ffv27t27L1680NDQCAoKcnR05HZqAADQBqhNAQA8LSUl5fz585GRkRkZGdzOpTc1bw4AACAASURBVG+TlJQcP368q6vrxIkTCQQCt9MBAIC2QW0KAOgbysrKUlNTy8vLGxoaONJhXFzcoUOHDh8+LC8vz5EOOeXly5enTp06ePCgnJzc7/eGx+PFxcXV1dXV1dXbPJ0VAAB4CtSmAIA/UX19vb6+vo2NTWhoKLdzaYlKpQ4ePFhNTe3u3bvczgUAAHobrIUCAPyJ9u/fX1paumfPHm4n0gYikXjo0KHIyMg/5xBXAABggnlTAMAfp6CgQFdXd+vWrT4+PtzOpV3Tp0//9OnTly9f+Pn5uZ0LAAD0Hpg3BQD8cdavXy8nJ7d69WpuJ8JOcHBwUVHRoUOHuJ0IAAD0KqhNAQB/ljdv3oSHhwcHB/P4fKSKisrGjRt3795dWFjI7VwAAKD3wDN9AECPePz48ffv39kETJs2TVxcvNfywdDpdAsLCzExsSdPnvTy0N3Q0NCgr69vZWV1+fJlbucCAAC9hMjtBAAA/dPRo0cjIyPZBFhZWfV+bXrmzJmkpKSPHz/28rjdIyAgcPDgwSlTpixatMjGxobb6QAAQG+AeVMAQI/IysqqqKjAfs7IyHB1dR0/fry/vz8zwNDQsJdPeKqqqtLR0XFxcelbL3Ha29vn5+cnJiYSiTCbAADo/+A3HQCgR2hqajJ/5uPjQwhJSkoOGTKEexmh7du3NzU1bd26lYs5dMPhw4eNjIxOnz69dOlSbucCAAA9DtZCAQC4aeXKlQsXLiwoKFi2bJmMjAxCaP78+XPnzmWN2bt378iRI6lUKvaxoqJi6dKlhoaG8vLyU6dO7eQmoGlpaceOHfP395eSkuL4t+hRWlpaK1as2LJlS2lpKbdzAQCAHge1KQCAm5KTk1+/fj1p0qQTJ06oqqoihBISEhISElhjMjMzY2Nj6XQ6QqigoMDU1PTixYvW1tbu7u65ubkODg6deUa/du1abW1tT0/PHvoiPWrbtm2CgoJbtmzhdiIAANDjoDYFAHBZenq6goLC169fW5SkbfL19c3NzX369OmJEycCAgLevn07atQoHx+fsrIyNnfdu3cvOjr62LFjffSVTTKZvHfv3pCQkPfv33M7FwAA6Fl98tc0AKCf2bVrl66ubodhZWVlV65cMTc3t7CwwFpIJJKXl1dMTMytW7famxNtampat27djBkzRo0axcGce9ncuXPPnDmzatWq169f43C4NmPS0tJev37d5iVhYeFZs2Z1OEpUVFRVVVVnIgEAoIdAbQoA4DIZGRlzc/PORKanpzMYjJqaGhcXF2ZjVVUVQig7O7u9uw4fPpyfn//w4cPfT5WLcDjcoUOHzM3Nw8LC5s2b12bMixcvlixZ0uYlFRWVzlSc+/fvz87OhtoUAMBFUJsCALisw/OZmM/rKRQKFo8t/MdISUm5uroaGBi0eW9xcbG/v/+GDRvU1NQ4ky73mJqaenp6btiwwdHRUUxMrL2wNWvWODo6tmjs5e26AACg26A2BQDwFhwOhy17YkpPT8d+GDhwIEJIS0srLCyMeZVGo1VXVwsJCbXZm6+vL5lM3rhxY4/l26v27NkTERGxe/fuwMDA9mK0tbX79NsLAIA/HKyFAgDwFjU1tdzc3ObmZuxjSkpKVlYW9rOmpqaMjMzDhw+ZVxFCAQEBEhIS7969a93Vx48fL1y4EBgYKCws3AuZ9wJJSckdO3YcPnw4LS2t2508f/582bJl2traKioqs2fPPnnyJI1Gax3W0NDg5+enoaHBz8+vpaW1ePHi6upq1oDubeYFAADsQW0KAOAtFhYWTU1NCxYseP78+ZkzZ5ydnZnPr0kkUkBAQFVV1dy5cz9+/JiVlRUUFLR7925bW9vhw4e36IfBYKxevdrS0pL15dR+YMmSJSYmJitWrOje7c+ePRs3bty1a9fs7Ow8PT3z8/O9vb3/+uuv1pFLly719/e3trYODAy0t7e/dOmSnZ0d82q3N/MCAIAOMAAAoIclJSUhhGbNmtX6ko2NjbKyMmtLbW3txIkTsV9QSkpKvr6+vr6+CKHGxkYs4MiRI8y3J4lE4pIlSygUSuueL126hMfj37171xPfiLtiY2NxONzt27dbtJ88eRIhZGJi4vxf06dPZ8Z4eXnx8/OXl5djH+vr6xUUFHR1dbGPzL+OhoYGPj4+R0dH5o2HDx9G/78cjcFguLq6IoTevn2LfWxsbBwzZgyJRGrz7wIAADoPx2AwuFITAwAAGyUlJYWFhSYmJm3ul1RdXZ2YmFhTU2NkZKSiotI6oK6uTk9Pz87O7vTp0z2fLBfMnTv31atXX79+ZX3R9tSpU0uWLCGTyYKCgqzBfHx8BQUF2M9paWnNzc1GRkbYx6qqKktLy8rKysLCQoTQqFGjsrOz8/Pz6+rqxMXFBQUFnz9/bmpqihCi0+n19fUCAgIEAqGsrExaWnrIkCGsr1Jcu3Zt9uzZISEhffSAAwAAj4C1UAAAXiQjI4MdYdomMplsbW3N5vY9e/ZUVFTs3LmzB1LjCQcOHNDR0Tlw4MC2bdtaXNq/f397O0khhHR1dSkUSlBQUFxcXG5ubmZmZlVVlaKiYoswISEhPz+/LVu2DB48WE9Pb/To0fb29nZ2dgQCAXV3My8AAOgMeN8UANDf5OTkBAUF+fn5ycvLczuXniIvL7958+a9e/fm5uZ26cbAwEBlZeVdu3Y1NzePGzcuNDS09au6mM2bN2dlZW3dulVISOjkyZOTJ082MDD4+fMn+u9mXkzsN/MCAIBOgmf6AID+Ztq0acnJyV++fOlw59Q+rampydjY2NDQ8ObNm1gL9kz/77//bm/etKSkRF5eXkZGJjMzk0wmY41DhgwpKipq8Uy/qamprq6OTCZjE6U/f/709/c/duzYpk2b/P39U1NTDQwMZsyYER4ezuycuZkXiUTq2W8OAOjXYN4UANCvYOeXHjlypH8XpgghEol09OjRiIiIzh95lZeXR6fTp06dyixM8/PzsZVqLcTExEhISFy9ehX7KC8vv2HDBoRQeXk56vpmXgAA0HlQmwIA+g8ajbZmzZpJkyYxV/r3b7a2to6OjmvWrGGtEdnQ0dERERG5fv16ZGRkZmZmaGjosGHDREVFa2pqmAccYIYPHy4rK7tz587nz59XVlYmJCSsXr0aITRp0iTUxc28AACgS2AtFACg/zh58mRaWhrrg+Z+Lzg42MDA4NixY2vWrOkwmEwmnzt3zsPDAzvUVFJSMjg4WFhY2M3NzdDQkLXAJZPJly9fdnNzGz16NNYiICDg7++P1aYIoYULF9bV1W3cuBH70yYSiZ6env7+/m3uqwAAAJ0H75sCAPqJ8vJybW3tBQsWsDnPs1/aunXr4cOH09PTFRQUOhNPoVASExMVFBT09fWxUpJCoZSXl2tqaraIrKurS05O/v79u7S0tKGhoaysbIuADjfzAgCAroLaFADQTyxfvvzGjRsZGRnMc6T+EPX19fr6+qNGjTp//jy3cwEAgN8F75sCAPqD1NTUU6dOBQQE/GmFKUJIUFBw//79Fy5ciI2N5XYuAADwu2DeFADQH9jZ2ZWUlHz48AGP/0P/l9vOzq60tPT9+/d/7J8AAKB/gF9hAIA+79atW48fPz58+PCfXJYFBwd//vz53Llz3E4EAAB+C8ybAgD6mM+fPxsaGjLXgzc2NhoZGQ0dOjQsLIy7iXHd6tWrw8LC0tPTpaSkuJ0LAAB00587xwAA6KNcXFyGDRv28eNH7OOBAwcKCwv37NnD3ax4wc6dO0kk0o4dO7idCAAAdB/MmwIA+pL6+noymcxgMBgMhru7+8qVK0eMGOHj47NlyxZup8YTzp07t2jRooSEBBMTE27nAgAA3QG1KQCgL3n37p2FhQX2Mx8fHw6HExUVzczMFBcX525iPIJOpw8bNoyPj+/ly5ewDT4AoC+CZ/oAgL4kMTGRQCBgPzc3Nzc1NZWVlZmamt67d4+7ifEIPB5//PjxN2/eXL9+ndu5AABAd0BtCgDoS5KSklosxqfT6d+/f3dwcJgwYUJGRga3EuMdZmZmCxYsWL9+fU1NDbdzAQCALoPaFADQl8THx7Me+46h0+kIoYcPH+7cuZMbSfGcgICA2tpaWB8GAOiLoDYFAPQZNBotNTW1vasrV668ePFib+bDs2RlZbdv3x4UFNRiIrm8vBzWGAAAeBzUpgCAPiMtLa2xsbFFIx6PJxAIf//99x++934Ly5Yt09XVXbFiBfaRTqeHhIRoa2t/+/aNu4kBAAB7RG4nAAAAnZWYmIjH47En+BgikUgikW7evDlx4kQuJsaDiETisWPHbGxs7t+/LyUl5e3tnZyczGAwEhISNDQ0uJ0dAAC0C+YYAAB9RmJiIpH4v/+j5uPjk5eX//DhAxSmbRo5cqSzs/Pu3buHDRv25csXOp3Ox8eXkJDA7bwAAIAdmDcFAPQZHz58aGpqwn4mEolGRkZRUVFycnLczYo3UanU48ePP3r0qKmpicFgUKlUhFBTU1N8fDy3UwMAAHZg730AQJ8hKipaXV2NEMLj8Y6OjleuXBEUFOR2Urzo2bNn3t7emZmZrO8/YMhkcmVlJWzLDwDgWfBMHwDQN+Tl5WGFKULIx8fn1q1bUJi2KSIiYsyYMRkZGa0LU4RQdXV1Tk5O72cFAACdBLUpAKBvSExMRAhhS/L37NkDM3/tmTZt2vHjx3E4XJu7FuBwOHjlFADAy+CZPgB9VX19fXR09MOHDz9+eP8tJ6eisqrNeTLQHgF+fglxcQNDA0urYZMnT7awsOB2Rpz0+PHjqVOnNjY2tjiqgEQirV27NiAggFuJAQAAe1CbAtD3VFZWBgQEnD51sqqq2kxPbajugIGK0hJkYXy/nkoMexQ/ZrCOorQ4pzpsaG6mVNZ+zS169Tk790eJgZ6e76ZNrq6u/WZGNjMz087OrqCgoEV5Onr06JiYGG5lBQAA7EFtCkBfQqfTz58/v+kvX3pz07Ip1nPtLGUlyNxOqpc0NlP5+Xpqa5GkzPzTd19de/reYujQI0ePmZmZ9dBAvYxCoTg5Ob19+5ZGozEbYTkUAICXQW0KQJ9RUVExc8b0Z8+eezqM+GveBHERIW5n1N98zi70OXk77ku2v7+/r68vt9PhjKamJi8vr0uXLrH+ts/JyVFTU+NeUgAA0C7C9u3buZ0DAKBj2dnZY8eMLsz7Frlv2Vw7CwESH7cz6ofkJEXn2JqLiwhu3n8iJzfH3t6eQCBwO6nfRSAQpkyZIi4u/vDhQ2yuFIfDjRgxQl9fn9upAQBAG2CdPgB9QHZ2tpWlhSBqenpotYmmMrfT6c9wONwSZ5vrO70ibtyY4uzM+ii8T1u1alV4eDiJRCISiQQCAZbqAwB4FtSmAPC6ioqKyZPslaXIUfuXKUiJcbDn8uq6iw/eXnzwtqGpucWlbz9KLz54GxX3hYPDsUel0Wk8s8+Arbn+3b3ez5/FrFmzhtu5cMz06dPfvn0rLS1NpVLhdCgAAM+CM0sB4Gl0On3G9GnV5aX/HFotJEDibOcSZKH7b5IfxKdk5v/a5eXEbKfS6G7+55OzCq5s9+TsiG0Kj/kQcvdVcnYhlUZTV5Be5GTt6TCivT0H6AzGCO/9NNp/qlhVeckbuxZzNqvB2qon189ZsOe4vr7+kiVLONt5hxoaGmJjYxMSEnJycioqKji4O9iQIUNevnwZGxs7c+ZMTvXJCwQEBCQkJPT19S0tLU1MTLidDgCg+2AtFAA87ezZs0sWL445sraHHuX/Kq+yWry3vKruYfDqoXpqWOP+yw/9L0bNHW9xfN2cnhiU1dUn770PXNZSlrW3Mmpoar4bm/SjtHKLm/2GOXZtxhcUlxvM226grihB/t9SMCUZ8dMb5/VEersvRP19JzY9I0NRUbEn+m/t/fv3R44cjbh1q76uVlhaiV9WDScojji6pp5Bp9V8SxRWNcCT+tHBWtRGRl1FTUFaU121orLKIs+F3t7esrKy3E4LANBlUJsCwLuqqqp0tLWmDtcPWDyl50a5G/tp3q5zWsqysX9vFCDxpeYW2SwLlJMUizvlQxYS6LlxMcOW7Gtspj4/ug4bq4hSaTx/hwRZOOParjbjXyZlOPgcf/33RsOBSj2dG0KosZlqtWS/lc24S2FhPT3Wjx8/Nmz0uXrlsqiaodTwORKDbEkSCj01GINOa6glCPa7DcgYjJq85LIP98veXCcwmnf4bVuxYgUfHywcBKAvgfdNAeBde/bsoTY2+Li2PYPIKY4jTFzGDsksKN4dep9Ko3sfuNxMo5/c4MrZwrS4vDrk7quPGd9ZG6tq67/mFtma6zHHUpASsx6kXV5d20xtexFSdmEJDofTUOql+TB+PuIOj8mXr1x5//59jw508uRJTW2du09eaS8N0d/yQG70/B4sTBFCOHw/LEwRQjiciJqJ6vRNxnvfitu4+2zarG9o/OnTJ26nBQDoAnjfFAAeVV9ff/rUyZVTrHthH9PApdNffco6fuv5D0plUmb+sqmjRhhrcqRnSmXt3dikWy+TXidn0ej0sG0eg7VVmVeJBEJ00Eo1BWlmS1VtfUrOjzFmunzEtjdv+vajVFlGorah8UVSRnF5tY6q3BDdAYS2Do7nFIfhxsZaqseOHb1w4WJP9E+j0dasWXPs2DGlyauUJq3E8/H3xCh/GjxJUMV5g+yIWTkX1lsNH3H96hUHBwduJwUA6BR4pg8Aj7p169bMGTPSruzsnZOfniemO//1N4PB0FWVf3F8/W/un1pRU3c3Nvn2y8SXSRlUGt1woNIkK6NJw4zYvDV74vbz/F/lD9+lVNc1hG1baKGv3maY644zscnZjc3U+sYmrGWQlsrpjfN0VOV+J2H2zt6L3Xr2PqWsjJ+fw4VjU1OTo/OUmJhn6h6HpYZM4mznACHEoFFzLm8qeXXt2LGj3t7e3E4HANAxmDcFgEc9fPjQTE+9144kVVeQFiDx1Tc2aSjJsClMVx8JN1BT8HIc2V5AcXn1soNXnn1MZzAYw4w0/Rc5TxpmpCIr2WECO8/fx8pNvQHygu0n8O1HaU19w9YFkx2GG5dW1lx5/O7Sg7ezt4fEntjI8X0MmCZaGq49euPVq1fjxo3jbM9eixY/e/FKd8NNEfVBnO0ZYHAE4sD5+0mSSsuWL1dWVobZUwB4H9SmAPCoD+/ih+mqdhzHCXQGY3FgWH1jk66q/P24z9eevp811rx12OP3qWEP3651sWXTVUlF9aN3qUQCfpGj9Vw7CwP1zi5v/3k3MLuwJC7l285z98asOpgStl1OQrR12N/rXUl8RH01BYSQhpKMhb66mLDg4RtP777+1GbOHKEoLa4kK/Xx40fO1qYBAQFhly5pLz/X04VpWeJDBrVJyrxTZVmXgruAQUe4rrx60dV4tpQnr2ouL3KZPSfudSzsMAUAj4PaFAAelZuXN3ekdu+Mdej6k7gv39wmWvm4ThjqtWfD8YiRxlpKMuLMgPP3X++5FF1cXt1hVzqq8jd2Lb79MjHsUfyJ288HyEtNHmY0aZixpYF667dCGQwGAyHmVqYaSjIaSjJ4HM77wOVH71Ln2Vm27n+QlkqLlvFD9Q/fePo1t6hr37mLNJVkcnJyONhhQkLC5i1bBrhslzDh8Fxsa4X3DjfXlHey3OxScIcafn37GRNalviQVl9F1jRXGL9ITG8EB+M7T23O7ozinOkzZ6V+SYaV+wDwMlinDwCPqqquFhPuje0nk7MK9lyKVpGV3LN4ipKM+G4vp6ra+qVBV1hfRh9honV0zezrOxd1+B4qkYAfP1T/7/Wu2eH+V7d7WeirX4iOs19/RGvWlqVBV3KLKKzBwdefSExY/ehdKmujlJgwQqiwpKJ154UlFXdjPxUUl7M25hSVIoSkxXv25QdRIf6KijZS6h4Gg7Fy1RpxTTOFsR6c6pMN+bHuShOX9kQwe/SmhrQjC4pfXRM3HCU3yq3+V07aEbeqjLeciu8SHIGo7h6cl5d39OhRjnQIAOghUJsCwKOoVBqB0OP/hTY0NXvuu0il0U+smy0iyI8QWmA/bKSJ1vPE9JDIWGaYlrLsBAuDCRYGnU+JRCTYWxmG+MzLDvcP2+ZhM0j79svE5OwC1hh9dUWE0LOP6ayNF6LiEEJtbl9aXl07b9e5wKuPWBtvvUhECA0zHNjJxLqHQMDRaG1va9UNly9ffhv3RmW2P2c31W+PzLAZcqM6ezZBl4LZ+357b/3PbG3vkwPn71Od5mvoe4sgQM462+4xsF2N7yqSpKLc+MV+23cWFxdzqk8AAMfBM30A/mh+ZyPTv//ychxpPejf9wdwONyxNbMtF+/ddubumME6mspd20m0tLIm7GEbE10mmsqayrLyUmKsjeOH6huoK56681JMRHCsmW4RpfL2y8Tot18Ga6tOsDBACIVGvVl79IbPXDsf1wkIIQN1xaF6ahei4yRFhR2HG9MZjOtPP8QkpDmOMDHTGdDNPwJu2L0nQNpqmrCqAQf7rCv4mn8nqPb7FyFlPSkze5K4/K8XlwbO20cUkci5spXWUKPpEYwQyr6wAU8kKU1amRe+szrzPY5AFNWxVJ+zG8//71ZlrMG/qSQ2XEhZT9xoDPaRT1RG3NCm5M3Nmm+JIgNNfz++G5Tsl1Nehv39999+fn4c6RAAwHFQmwLw53r2Mf3UnZfqCtI7FzqytqspSG1zn/TXyduLA8MeBa/u0u6hv8qq/M5GtnfV6L+zoXgc7oqfp9e+iwGXogMuRWONDsNN9i+dRiTgEUIMBoNGpzNfLsDhcFe2e64Ivnbw2uOD1x5jjQsnj/Bf5Nz5DLkuPj4+/Wuq8bYgDvZZlfH2a/BcPElQwmg0wuFzwjaTJBXqi7LUXLYjJFGTndBc8++LEHXfU5prysoSH/BLq0pZONV8SyyOvU6tq9ZZFoIFsAb/DmpNGbWuUmaEC2ujoJwGQqgm91PrWrOr8d2DJwlKDnMJOXsOalMAeBbUpgD8uUYP1ql4cKjNS0unjFo6ZVQ3+jRQV6x8eLjz8WoKUg+DV+f9pGTk/xIk8WkqyylK/29u1X3ScPdJw1njZcTJ13Z45ReXZeYXi4kI6qjKY68i9CH37t0TkVMVHmDMsR4Z9NwrW/FEkvG2aH4pZYRQnd2S5F0T2gtvLM1XmrhMddpfCIdDDHryLvvKr686HIRaU/Yz5kJ7VyWH2Asp6rC21P/MRgiRxP+z76yAvAZCqLm6tHUPXY3vNkkz+8/Rx5OTk42NOfdXAADgHKhNAQBchsfh1BWk1VlOh+qQiqxkZ/ZM5U2xr98IaVlxsMPa719q81OV7JdjhSlCSEhZV9rcqSTuZpvxeJKAstO6f191xeHJmua1eZ+byovYn5LaXE3Jv3OgvasC8gNb1KYNxbkIIaKwOGsjv5QSQohWV9W6h67Gd5uImglJiBwXFwe1KQC8CWpTAADoVSlfvwrbtHt4QTc0FOchhATlNVgbBZXa3YCMjyzNejIqUVgMIURrqGU/iqC8psXf2e1dxRFbbuCAI5IQQtTa/2xuQG+qRwgRhMRQK12N7z4cTlhJOy0tjZN9AgA4B2pTAADoVRVlZWJkKQ52SK2rRAgRRST+00pvd1cBPEmgreaOzq/G4dq5sW0kMVmEUENJHmsjtbYcIcTX1tfvavzvwAtLUiiUjuMAANwAtSkAf5z7cZ+bmqlTrDu1uKRF8I9/9nMkBzqDge/i9kk19Y1NzVRJUeHWl2rrG4XbeeuUwWBU1taLiwh1J8ue0dzUiCdy8nhV7FF+deZ7CZP/HdlV+/0LB4dACDVXFhdEtv12MkJIduSsFm/QCsgNRDhcY8l31sba/FSEUJsLm7oa/1uI/A0NDRzuEwDAIVCbAvDHCbzyqKyqtpO1aZeCO5RVUBwSGXv/zeequnpL/YHLpo6yMe3U2VdlVbXDluwTFRZ4F7KJ2fgpq2D7uciP6d8raupkJcj2Vka7vZzIQv/O7VXU1G07czc85kN9Y7OIIL+tuX7Q8hnYxv79jJCSLg5PrEh9qYr+/cNpKMmrTO14eVOXUOuqfr260t5VUR2rFrUpSVxOVNuyKuNtQ3GegOwAhBCDRi19e5skIS/S1jqwrsYDAPorqE0B+OMschzZ0NTcE8Hs1Tc2z/IL+UGpnDHaTFJU+G7sJxe/0xH+3sONNDq8d/nBq0WUSlHh/z1TTsz47uh7gkjAzxhjJkEWuvUiMTTqTXJWwdMja/E4XBOVNn3LqQ9pefPsLMz11BPS80Kj3vworXgUvJoj34WnkCTkFWwX/nh4KuvsaumhjvW/cn7GhHJ8FEEFTctTuV26RWnSirRD8zNOLlaevJIgJP4j+nhDyXe9VRewZVi/XoTlhG1Sdlij7LimM/EAgD8E1KYA/HHm2A7toWD2doXeyywovrl7sa25PkLI29lmuPc+7wOXky9sY3/j2XuxTz58lSD/57n86buvGhqbYo6sM9JQQghtnm/v6Hv8RWLG3VefnK0HXX387v3X3N2LnFdMG40Qmj/BEofDnb//OjHju6m2Kqe+Ee9Qnb6JICRW9Dik5M0NooiEjOVUgpBowd1ggmDPHuXKnriBjabXkezQ9enHvRBCRCFRtVl+zK31EUIMOo31PdcO4wEAfwKoTQHon1JyfgRciv6UVWA4UNFhuImitNi5+28OrZwpKSq88URETX3jiXVzEEIrD10j8RHXzbLdEnLnbco3IgE/wkgzcNl0IYF/X4hkDf5Nlx+9M1BXxApThJCsBHmsme7VJ+8/pOUN0W33VKeveT83n/5nx0LHC9Fv/rcLP0LxqTlGGspYYYqZO97iRWJGQnqes/Wg60/fy4iTFztZM6+un2VraaAuLS7y+1+EB+HwROXJq5Qnr6LWVRKFxBBCOZe38EurYLWp0dYoZiTrzxgVp/UqTuvZBPwO6aFOUkMm1eQmIzpdZKApDk9gXpKzmStnM7fzWaPJvQAAIABJREFU8QCAPwTUpgD0Q68/Z0/bfFJIgG/cED0CHr/++E0lafGM/F8Bi6cghN59zS2r+nfDoOTsQkplzf03yQPkpaaPGvwhLS/sUXxlbUPYNg8sgDX4d1Aqaytq6ubaWbA2YgeiJmZ8b682bWhqXhhwwcpQY4mz9YXoN8z2ZiptrJmu2X/vKiypQAhh06vZhSW25nokIiG3iJKaW6QoLWY4UGnWWPPf/yI8iN7UkBo4Q0TDTG3WdqwwpTfWVaQ8F1bh5Jmo3YbDE8kDB/dcPACgn4HaFID+hs5gbDwRwc9HfHFsPbZB/fJpo0ctb3fX9O+/ylbPHLfdYzIOh6MzGKOWH3iRlNHhKJTK2jP32l1t4zhikN4AedaWzIJfCCE5SVHWRi1lWYRQSUVNe/1sDblTRKm8tccb9983DvmIhMBl01lbSiqqT999xUck2FkY1NY3/iyrkpUgu2w7/SA+BQvQVpE7sW6OuZ5ah1+tz8GTBIgi4j+fnqPVV0mYjKPWVhbHXm8q/6mxoN2/dAAA4FlQmwLQ3yRnFXz5VrjGZRzz5CQDdcWpNoOvPX3fZrwgP99f8yZgxR8eh7M0GPgpq+BHaYWitHib8ZjSypo9F6Pbu6qpJNuiNv32oxT9/6Qmk4qcJEKosra+zU4exKecvvsqbNtC+f9WtG1GLj94tbSyZu+SKQbqip+zCxFCf99+MVBROnDZdAt99bcp3/zO3p29/UzcKR8ZcW6+gtlDtBadKLh/pDLlZfHrcAJJSHiAke7KC6LaltzOCwAAugxqUwD6m5yiUvT/U5JMemry7YQjaTGyAOl/h/pgW4HW1DeyH0VbRfbn3Xan5Uh8LV8T5OcjIoTKq+tYG+samhBC4iKCrXv4WVa1NOiy20Qrh+Hs9g/KKSr96+Tt6LdfBipKn/GdN8pUByFUXl2LEGpspl7c6qGtIocQMtFULi6vPnD1UcTzj0ucbdh/tb6IIEgeMH0zmr6ZVl9NEBBGODy3MwIAgG6C2hSA/qaiug4h1GKPehqt3VN/BPlbnjaJEGJ0fEgQrs0b24M9zc8t+s9hPFgRKS3Wxvqks/diKZW1lbX1S4P+3VPzB6WSwUBLg65oKsmsnWWLELr+9MOao+E4hHZ6Oi5xtsHKX4SQgrQ4QshcTw0rTDETLQ0PXH2U/v1X53Pui7i7MB8AAH4f1KYA9DeqclIIobcpORMtDZmNn7ILODvKr/Kq/Zcftnd1np3lIC0V1hYNJRkcDpf7s5S18XP2D4RQmwuhpMVEjDSUsgtLmC1NzVQ6nZGcXYAdKPUgPmVxYNhQPbVzf7kpy/7nuE5lGQmEUDP1P4d2Yru0igq3MUcLOqM8OYbWUC091InbiQAA+jmoTQHob/TUFIgE/LOPaTsWOmAtuUWU54npnB2lsqb+YnRce1dHGGu2qE0VpMSGG2m8+ZydU1SqriCNEGqm0m48+6AoLdYiErPYyZp1ByiEkPWywIam5tgTG7GPO8/fExUWuLjVo/XbqIL8fNaDtF8mZWQXlmgoyWCN994kI4Qs9NW7/FUBQgihHw9ONBTncr82ZdA/bR/PoP/nfzwEpJV1V13iVkYAAM6C2hSA/kZRWszb2eZoxDPvA5en2phmF5aERMZyfBRtFbmS+we7dMu6WbYztp5y231+w5zx4iJCweFPcoso4bsWYcuwQqPerD16w2eunY/rhA67qqipS80tMtZQOnYzpsWlESZaEywMdix0GLPyoJv/eT/3yUoyEi+TMs7ff2NlONDeyrDNDkFf0VheVFfwVUhZlyj8v8ly1p8BAH0d1KYA9EPbFzqKiQieuP3iyuN3kqLCM8cMERMW3Hf5AVmIn4tZjTHTPb1x3vLgq3N3nkMIiYkI7lk8hbkVP4PBoNHpHb7ninmbksNgMD5lFXzKavmuAg6Hm2BhMFhb9cauRUuDrkzfcgprt7cyPLHOlWNfBnBJw69chJCm51FhFX1u5wIA6BE4Rif/KQAA9C4cDhe6ecEUa9Pf6aSipg5bd7/h+M0H8SmfL/pxKLvuo9LoiRnf6QzGEN0BBHzPLidvptK+5haVVtboqyt2uBEVe27+5/nktMLDw38/KxwOp73kpJS5Qyfj6c2NhVFHS+NuNZb/4JdUEtMbMWDmVoLAvwvIqtLjKO8jK1Jf0psaRLWGiupYyVrPwY5Tyr6wgUFtUnZYUxh1rOLLc0E5dZkRs2SsphU9Ol3y9lZT2Q/hAcbqc3YJyP37nkPGySXCKvqiOsOKnpyp/PqaT1RaZth0pQne2Kr/lP3TG4pzzQ58wIKpdVXfbwVUp8c315SRNYfIjpwjYTymkzn/jl8vwr5d8rU4kYUnCXS7k4y/F49RF+TI3yYAgONg3hSA/qa+sdnB55i5rlrAkilYYVrX0PQ0Ic2Y5XhPLiIS8L22AT4fkWCsqdw7Y/WcnLC/St7clLaaJq9q2FiS9+vl5bqCr4ab7iKEKtPefA2aRRAkS1tM4SNLVqS8/HbJt6Ekb8CMLQihuu8pjeVFlamvCEJiYrrDS9/fqUyPK43/pzLlpbjxGH4p5fLkJ6kHXAbvf4tVn5VfY2vzkgujT4jpDpezmVuZ8uL7zT0Nv3Ja7+HfVF70Ze+U5mqKzLDpREHRii/P0464qblsU7D16jDn39TwK4dfUonWWFv5Nba5qkRQQQuONgWgn4HaFID+RpCfT4IsdOrOy6ra+gmWBuXV9Zcfxf8orTy6Zja3UwNdRqc2lcRFiBuP1fQIxlr4ZQbkXt3W8OubgNxASvw/ODzBdG8cUUgUIaQ4cVmij2X5p8dYbYoQaq4sVp3iozR5JUJI2sLp66F5VelvBu1+JiA3ECGUdXZ1yZsbDcW52EeEUENxnprLdoXxXgghNGVD6gGX4thr8qPnCw/4zy6zeTf3NJbmG22+JzLQFCGk4rT+6yHXvJv+MsNmEIXF2efM2g+1puxnzIX2vrvkEHshRZ0WjQ3FubT66o8bLehN/x7ZIDzAWMvriKCCVpf/cAEAPAlqUwD6obO+84OuPY75mH758TshAdIgTeXwnV7DjTS4nRfoOjoNIVSVHlf7/YuwqiFCSGGsu9zI2Tg+foSQwvhF8mM9sMIUIcSgNhGExGj1Vcy7cXiC4gTv/2PvvsOaSrYAgE9CCAmhhN5771WKBTv2ir2ia1ld7K767LsKrOva29pRsIuiIlYsiA1BiiJFilSpCSWB9Lw/4sYQARGCoZzf9773yWTu3HNdlcPcmTOCX8sb2CGElK17CRNEZeue5S+u1BVnCltw8ko6g+cJL9YbsbQ6/UVV6lPR3JRDr6p4fV3BxFmQmCKEMDhZTZ/p1WnPKQlRmj7Tmo9ZFLu2suBGkyc4ELRNG89NGXTD8WtVXYexayvLX1wpe3Yh/cAcpy33sXLyjY4DAOhcIDcFoAtSIhH/+GX0H7+gGnq9gjwB2/AwetCJYPFEg9Gr8q/vSPljCFHHQtm6J9lxINm+r+AtNlHHnEOjFt87SstOYFQUMMpyufW1ePLXEwdkyVoY3JcjErCycgghPFnkhDAsFiHE57CFDQQtUyTyp4WoZ4UQYpTliYZUX5KN+Hwug57576/CRm49DSHEKM/7bsyiiNrmnkeym3p2YeSizH/Zg8Hh5fWsEUIELRNFc3cZomLx3SOVb6M0vCc0NRQAoBOB3BSAruynlZq/H/ehto7h18/159yujThcHgaD2nsnlqTojVyq5jGm/MVlasqjkiehJY/PELRM7deGyyprFt89UhCxE4PDK1l5k237KIxcWnzvKLMiX3itzLdTic3+oCKr3OCoWxk8Ef2X1ApxaFSEEFYWj5H5mjviFFTUvcYTdS2/G7NYMD+6pUlsdQFCSMVxYPHdI3VFEq7gCwCQFshNAQASsO9KdE5xRYfKTV3mbOvjZLF/+RTRxsuP4o/ffJaSXcThck101BeM8Zk3qndHnlfmc9hcVr2cur7B2N8Nxv7Ori4rjNxf8uj05+jTOoPn5V0NklVUcwmOFW6BL4zc35bbMco+iX7JrCxECBG1G6wGIWgYIoQImiYW8w98jZPH5TLogly2mZgNx68VHYpdXVZ4a29TwWj2mSKWibIoxbW5iQomznKqXzf2CSZrZRXVf/hpAQAdUueYNgAAgB9y7v7rnOIKscYLD98s+Dusilb/69i+80b1oTOYvx+6uuvCfalE2ELV6bFvlthUvI4QfCmrrKk7bBFCiFNXxawsRHyeqtswYWLKohTXFaS25XaMkhxGaa7wy7LYS+i/hapCBE0TWUW1qtSnfC5H2FgUdfDNEhtabmLzMYvdjlNXU/rsfFP/E1tLgBBi06syDy8oaph/V8bdRAgpWXq25cEBAB0HzJsCALqO4oqqv8LuJmTkv88p+vbTA1cfmelpPNq/UlGegBBaPmmg46w/jt+M/X3akJ8eaUspmveQVVIvvLVHTlWXZGjPKMsVzIyqOA4iapvJyJEq426qOAwgapvXZr3Jv/63DEGBy6yrL8kWm+xsIT6fm35wruG4NQRtU0rCnc8PT6r1GCWW9mFwsoZ+/8sOWf3xeIDesN9kiIqUxHtFt/Yq2/oomvdoPmax2xF1zL2Ofmp5eCR9G0Uzt9KYcziSiqrbMMTnl78Mr0p9quY2QsHEuRXPCwDogCA3BaATY7DYuy8+vPToTXF5lb6mio+zZeCCsQrEr6sDY1OyrsckPn6bUc9ke9ub9nY0nz3MW7DOcuneiyw2Z830oXsuPXgYn26mpzFziNfkge4Hwx9ffhRfVF7lbGHw92I/4Xn0/oEhDqZ6vZ3Mj1x/GpOcqaGsOHVwj6UTBzb6QryaVv/H6cgX77Iqa+ietiazhnr7enw9xee7YbdabR0zq7BMmURwtTR8m5kv+lENvT7t0+eFY30EiSlCSEdN2cfZMiYpk83hyuI6aIFMGYKCxfyDWSeXpf79ZaMPVlbOcPxaFceBCCGzubuzT61M3++PEMKRyMZT/sDKEbNOLk/eNMDruPikY0so2/TGk7UzDi9AfB5CSMnK23RG8LfdNPtM5bHq865sr3xzCyGEweI0faYajl8nWMzafMxtgsFYBZzKDlldFHWgKOrLigKt/rOMJ0n/UAkAgKTAuVAAdFAtORfqt13nLzx8M2VQD0czvdzPlWfuvHAw1Xuwd4Xg02fJH8esO6xEIkzs76amrPD4bcar1JxlEwf+OW80Qqjfkl3F5VVYLEaZRHS2MLj29C2byxvkbvP4bbqvh60MFnvvdaqmqtK7s1sE2afJxPXKJGJlDd3HydzKSPtRQkZiZv6soV6Csqkjfj+QU1yRdu4PhFBxRdWQlfsqqmlTB3kokQjRCenvs4sCF45dPK5fS8KWiJziCpc522YP8xauN61jsFKyC4111IUHRNXQ6z3mBzuZ61/6c8F3B5TiuVAIIR6rnl6YxqoswimoyutZySp9XVvJoVHp+e9lyZryOpaC1JBDo3Lqqgmaxj8a2Jtl9grGzjYrwjh11fRPyXiytnBvU6O4DBo9/z2XUUfSt8ar6rY85rZjVhbWl2Tj5JWJOuatOG4KzoUCoCODeVMAOismm3PpUfwQT9vDq6YJWkx01NYeuZZVWGaur4kQuvI4ASeDTQ7ZrKxARAgtnzTQafafd169F+SmCKFSas0m/xGrp/oihCb0d52w8WhsysfXx/4nuHzRP+fOP4jLKSoXfIkQyv1cEbRw3G/j+yGENs4eMXrtodB7r38Z2dvZwkA0sC0nb+WXUqL3rXS3NkIIrZ813G/Dv1tO3Jw6yENFUf67YQtVVtNPRD5r6vFH93a2MdJu6tNvyRPwXnZfqngevv6koJR6Ly6Vy+OtnDK45YNICxZPVDR1RaaNbDXDKago2/YRa8EpqLTldjh5ZWVbn+92kyEoKFl6NfVpMzG3nZyavpxapz/xCwDQKMhNAeiseDweQuhZclZKVqHgZM4FY3xmDfWWw3/5ex3g13/hGB9BYooQYnO4ygrEGjpDOIIMFrt04pfXrPamegghHydLYYLY29H8/IO49PxSYYuyAnHxuL6CX2MxmNVTBz9L/vgoIV00N6XW1l15nOBqaShITBFCeJyM/zDvmKTMm7HJs4d5fzdsoYpqWtDZO009vrme5g/lpqL+PH27nslCCNkYaRPxjRTRBAAAIC2QmwLQWRHl8OtmDN0WcrvPbzutDLX6OFn4etgOdLMRlu20NNCi1NAPhD+O+5CbX0rJLiqvrWPoqCkLR9BWU8L/t86SgJcVtAg/lZHBIoTYnK97sc10NTAiq0utjXQQQrmfG2yH/1hYxufz6Qymf2CIsLG2jiHs+d2whSwNNEtuNnloEF629StES27uzC4qf5ma8+epyAHLdqeGbdVSUfr+ZV0dXllLVlFV2lEAALo7yE0B6MRWT/X16+d6/kHc/bgPpyKfn7gVa66vGfXPEkGmte9KdNDZO3hZXG9Hs34uVqun+h4Mf5xXUim8nEQQ336EbbYcvWjmihAiEfAIIbmG846UGjpCCC+LE91dpKpEmjTA3cZIpyVhC2EwGKKcxCY1+Xw+HyHhzi0zPQ0zPQ0sBrPon3P34z7MHNLku+nuw+nPaGmHAAAAkJsC0GmxONx6BstQS3XDrOEbZg0vpdb8c/7+sZvPjt6I2ew/sqKatvXkLXWyQuLpTcIt8P+0rZZnTlGDKdL8UgpCyKLhIlFjHTWEkJmexvG1M4WNXB6PVsckEvDfDVt0qFJqzd/n7jUVzMwhXmLrXJu359LDP05HXtm2ULRigJoyCSFUVC5edxMAAIC0QG4KQGcVk5Tpt+HfY2tmTh7ojhDSUlFaNnHgsZvPqmrrEUIFpRQenz+ql5MwMS0qr3qXXaSpotjqO2YVlWUXlQurSoXde40QcjDTE+1jqquhrqwQHZ8uWphp98UH289E3d21zNvetPmwRVXT6s/eedlUML0dzX8oN7U10UUIPX6bIZqbnol6if5ba9tlUFMecRm16h5jpB0IKn0axqmlIISIuuaqrsMbfMbnIYwkD3+pSn1Kz01GCGHxBB3f7xdeAAB0WJCbAtBZedmZapAVd5y7q6dBdjTTyymuEEyLDvG0RQhZGGiRiHLXnr4d3MPG0kDrVWrO9jNRivIEWj3zY2GZ2GRnC3F5/GlbT2z0H2Gur3krNvnfiKfjfFx62jeo8Y7HyWyZO2rJngvzd4SumDxIUZ5w++W7nefv93e18rIz+W7YoiwNtMpv727db863fD1s7Ux0j96IUVYgDnSz/lxZfT0m8c6r966WhkM97b5/fedRfPcwo+xTR8hNPz88yawowJO1yA4DBLkpozSn5FEIJfEet75G0byHju8CZZveLR2Oz0ve6svncUXbCOr61stCEUK0nMTyF1fYNRUYGRzkpgB0apCbAtBZKRDlTqyb+evOcyN+/1KEnICX3ew/coiHneDTwyunLd59fsqW4wghFUX54F/Hkwj4hTvDvBYEV0btacUd+zpb6qorz9p2isfnI4R6O5rvXjLx226zhnrVM1mbT9y8HpOIEMLJYGcN9d48Z6RgH1XzYbcfLAZzfsu8+TvOBofeCQ79sv1/VC+nvxf74WTg9Ob2omTpZbMiTPBrHouRvt+fRS1R9xqHI6lUJtxO3z/bZsW5ZgpRiWJSP9cVpsnrW+NIXytkCX+tP2q5/qjlWSeXUZMfSvwpAAA/E+SmAHRi/VysEk9vfJ9TXFhOVVMi2RjraJC/vrIf6+Ps42yRkl2opapsbaglSA17O5pX0eoRQk8OrBIdSkVRvvrePtGWKQN7TBnYQ7QFJ4M9snp68K/jEjMLdNSVrQ2/lnC6vXOJaM+FY3ym+3omZxXS65l2Jrp6GuSWhy0RprrqYo+DEDLWUbu3Z3leSWVmQSkRL2uur6Wrrtzo5aA95F//q74k22Z5KNlhAEJIZ/AvyVsGZ51c4bqjyZUbohilnxBC5vMOkAzEp9gBAF0J5KYAdG5EOXwPG+MeNsaNfqqqROrnYiXWoqpEassdyQry/V2tvttNgSjXy6HJI92bD7v9YDEYEx11Ex1JnlEkcbnnNtILUi0XHcUrf116kXNmDaOiwGbZWQxOFiFUk/Gy8s2tqg8xPBZDycJDycpb02caBiteVyvrxDI+n2cx/4CwpSjqIDUl2m7NFQz2y7//nLqa/GvBtRmv2TSKorm7Zp9pKo4D2uO5ymMvy+vbCBJThJCskgbZvm/5i6u0nEQF0+bOPxNglOUiDIaoZdoesQEAOg54kwUAAB0LQcu49mMcJSFK2MKqKi19dgGnQBYkptXpLz78M7ki7gbZrp+WzzQmpTgndF1+eCMH39PyUuh5KaItjNLc2o9xiPfltGoW9XPKH77lL64qWnlq9p7MrChI3z/784PjEn8oDo3CqasWO8KKqGWGEKJ9Sm7JCIzSXDlVPS6TTk1+WPbsQm1WvNjaUwBA1wDzpgCAFtFWVRJUXALtTd1zXN6lbZXxkdoD/AUtlW9uIj5Ps9fkL1++jsBgZVz+eomTV0II6Q77LXGtFzX5gdHEjT96r7yrQcyKAocNkYKZS4Mxq9P2Ts+7GqjRcyKO1GAlBodGKXl0pqlxVN2Hy+s2N5teX5KNEMKTtUQbCdpmCCF2bUXj1zTEKPvEra99u8aTx/pS0oFk5Ggxfz9Rx6IllwMAOgvITQEALfLy6Dpph9BdyCqqkR36V717xK6pkFVSRwhVxN3Aq2iT7b6cca/ju0B74FxBYooQ4nNYMvLK3PqaH70Rh15V8fq6gomz8JU6Bier6TO9Ou05JSFK02eaaGd2bWXBjSaP6SJomzafmzLKPiGExPJdOTU9hBC3rkWRM8o+cRl0w/FrVV2HsWsry19cKXt2If3AHKct97Fy8i0ZAQDQKUBuCkC3dj/uQ20dw6+fq7QDQSFRLyqqaQghK0OtUb2chO0cLk8GixE9K7UVaPVMFpsjXGj7KCH9bWY+QoiAlw3w69+WkVuhJc+i0WsiNfkBJfGuVt8ZzIoCWk6i3vAlwoKgRB1zDo1afO8oLTuBUVHAKMvl1teKTUm2RH1JNuLzuQx65r+/Chu59TSEEKM8T6wzUdvc80h2kw+F+84JXhgcHiHEoTc45kAwAyoj36Idaea/7MHg8PJ61gghgpaJorm7DFGx+O6RyrdRGt4TWjKCCH4b/0QBANoP5KYAdGv7rkTnFFd0hNz0yPWneaUUHTWlwT1sBbnp/bgP287czsgrUZQn+DhbzBvVp5nNVc2g1NB7/rpDiUSIO75e0BKfnnfhYVwZtVYWJ/Pzc1MiSYHLrGu+j4rTYJy8cmV8pFbfGRVvbiKENHtPEn5afPdIQcRODA6vZOVNtu2jMHJp8b2jzIr8ltxdNDvk0KgIIawsHiPzNbPEKaioe40n6lqKX4nBYPGEltyiUYJ9XWIpL4dORQjJKqq1ZASSkaNYi4rjwOK7R+qKMn44GiZdUVH7+90AANIAuSkAoKPo5WAWHvhlAu/q44R5O0INtVSXThz4uaLqWkzigzdpjw+sasWpAQG7L3yurFYifc2r1kwfsmb6kF93ht19nSqx6FtMS0ubRSluvg8Wh1fzGF0Wc4FDo1bG3VA0dyf8tz+dXVuZdzVIVlHNJThWhqAgaCyM3N/oOBiE4fF4oi2CdZ8CBA1DhBBB00R0Iz+fx+Uy6DJ4othQ7Oqywlt7mwpYs8+Ub3NHUQQtU4TBMMsbJND0gg8IoZZs0mdRimtzExVMnOVUvx7iJch0ZRV/uOoCp7pEW7vXj14FAPg5IDcFAHQ4LA5304kb8gT8s0O/KysQEUJbfxllM33LnKCQ2MNrfmiok5GxD+PTVBQ70HpEZyfHZ5/efbebRq9JpU9Ci+4couenms3eKWxnVhYiPk/VbZgwMWVRiusKUgUrU8XIqetXfYjhczkYGRxCqK44g1GWK/yUoGkiq6hWlfpU2AEhVBR1sOD63/brritaeIgOxamrKX12vqlolay8m89N8WQtJUuvmsxXjLI8gqYRQojP5VS8uo5X0VZo9kIBNr0q8/ACrb4zTGftEDZWxt1ECClZen73clE8Zl1tcbaDg8MPXQUA+GkgNwWgc/v90NV3OUUhG+ZoqyoJG5fuvZhfSrm8bSEeJ4MQik3Juh6T+PhtRj2T7W1v2tvRfPYwbxmseAm5hX+H8fj842tnClv2XHp4Ly418u8lwpOTqmn1f5yOfPEuq7KG7mlrMmuot+jx9JKSkVdSXFE9zsdFkJgihDTIigNcre/FpdbQ65VI4lN6TUnLK9lwLOKPX0afufNCcJZVRzBwQP/bv6/jc9jNr9FUNHUlaJl+vn8Miyeq9RglbCdqm8nIkSrjbqo4DCBqm9dmvcm//rcMQYHLrKsvySZqN1j2oGDqSk2Jzjq5XKvvdEZpbtGdQzJEJQ6NIvgUg5M19Ptfdsjqj8cD9Ib9JkNUpCTeK7q1V9nWR9G8wbELCCGijrnX0U9teXC9EUvS987K/Heh/silMvLk4juHGOX5NsvOoP+Wfn6+fzzvyjb9USv0R68Qu5akb6No5lYacw5HUlF1G4b4/PKX4VWpT9XcRiiYOP9QGNVpsXwet1+/fm15FgBA+4H6pgB0bqa6Gi/f59yK/Voh8nNldejdVyqK8oLE9Fnyx9FrD4U/eTvQzXr2MO+i8qoV+y//cSry26GSPhYkfSwQbckuKn/5PkeY1RVXVPVe/PeFh3E9Hcyn+3rmlVImbz52+PoTiT/U58pqhJCbtZFoo5u1IUIoLa+khYMwWOxfgs9425v9OtZH4hG2xZgxYzisekri3e/21Og5gc/jqrkNlyF+PTdLhqBgNnc3n8NO3++fuL73p0t/GI5fZ+q/k8/jJm8Sr5mvO2Qh2WFAxevrqX9PKLi5S819pFbD3feafaaaTNtGTbqf8ufQxP/1yr8apNF7suWvR1A7bBUi2/U1n7+/viQ749D8Dzsn0nKFXjvKAAAgAElEQVTeGk/ZIizFjxDi83l8Hhehxn6KwGCsAk6pOA4qijrwbtvwd9tHlESf0uo/y3xe44sZmlHxKtzTq6eW1g9vHQMA/BwwbwpA5zZxgNvG4xERz5Lmj/5S1fx6TCKPz5/h++WM8iuPE3Ay2OSQzYI5yOWTBjrN/vPOq/d/zhv9o/facvJWfiklet9Kd2sjhND6WcP9Nvy75cTNqYM8xF6aV1bTT0Q+a2qc0b2dbYya24lioquOEIpJylwislEpPa9E8P+etiYtiXbT8RufK6uvBS3qaDuy9fX1hw8f8ezBUTX3kc2ngPojl+mPXPZtu5r7SGXrXvT897JkTXkdS8EgylY9OXXVCCG7NVeFPbF4os3yUHZtJYtaQjKwFfQ09Puf6GjaA+dq9JpEz3/PZdSR9K3xqroSecxGqXuMUXMfQfuUgng8BVMXsYOsdIcs5LOZchqGjV4rq6RuvTSEWVlYX5KNk1cm6pgLVzW0HKM0l5p477fTp1r5AACA9ge5KQCdm7qywuAetvfjPpRX1QpOpQ9/8lZXXbm/25dikwF+/ReO8RG+HGdzuMoKxBo640dvRK2tu/I4wdXS0P2/6Uw8TsZ/mHdMUubN2OTZw7xFO1dU04LO3mlqKHM9zeZzUzM9DRdLw6eJmWfuvPTr58rj8S5Fx0fEJCGEuA139jTl7uvUYzefhW3+RXSpQ8fxV3CQk5Nz+curGj0ntm4EnIKK2BlLOAUVnIJKo51lFdWa3wsvQ1BQsvRqXSQ/CoPFKZo2XheCUfapLPaiaG79LTk1fTk1/VbfPf/SVnMLiylTprR6BABAe4PcFIAOiiAnx2RzWtJz2mCPO6/eRz5PmTOiV34pJT49b+WUwdj/JuQsDbQoNfQD4Y/jPuTml1Kyi8pr6xg6ai2qKCnqY2EZn8+nM5j+gSHCxto6BkIo97P4uT6WBpolN5us046XFT/2XQwWgzm0curkzceX7r249sg1Pp/P4/FmD+95+vZz62aTWoESSs3iXedmD/Me1ev7m2xaiMHiKBFbus71u+zs7BYsXHDmQrCqy1DR9/VdD70gNfPIQkUzdx3f+d/tzCj7ZL00pHUTt2Wxl6rePaLlJjXTh5ryqDL54dXHj3E4+N4HQMcFfz8B6KBUVciV1fSW9BziaUdWkI94ljxnRK9rT98ihKYP/rrDet+V6KCzd/CyuN6OZv1crFZP9T0Y/jivpLIlI1NrvwZAqaEjhPCyOFnc18xSVYk0aYC7jZGO2IUYDIYo951i7M2zM9F9dWzdtaeJGfklWqpKA1ytniVnIYS+vde3TkbGVlbTq+n1i3d92VdeXFnN56PFu86b62msnDK4FfFU1tRZq6q24sKmbPvzz8tXwnNOLrH47ZSwqH4XQ7bry6IUIz6/8SWk3/a379eGu/ERn69g7IQlNH6yLrOi4FPIislTpsIuKAA6OMhNAeigbGxt0z59bklPOVnc+L4uZ+++pNTQrz5562lrYv5fEdCKatrWk7fUyQqJpzcpEOUEjf9cuN/oOBgM4vEa5BAfC8uEvzbWUUMImelpiG7k5/J4tDomkYAXG6qUWvP3uXtNBTxziJezhUEzT8TicPNKKtWUSLOGfn3RvPvSQ21VpZZUg1JXVnAw08suKv86IJvD4/FTsguxrVp7yufz0/NKfrG2bsW1TVFTU7sbFdnbp2/+le2GkzZLcOSOw3jK1p92L83eUzR7N/mmnsugZR2cY26kd+L4sZ8WEgCgdSA3BaCD8u7Z6+zJoy3sPG2wx6nbz/dejn6XXbR/+dfv0AWlFB6fP6qXkzAxLSqvepddpKnSyHtkQy21x2/T2RyuYGY0La8kp/jry3pTXQ11ZYXo+K8dEEK7Lz7Yfibq7q5l3vamokNV0+rP3nnZVLS9Hc2bz03rGSz3XwIn9Hc7uW6WoKW4oupmbPKMIS1aE7lwjM/CMQ325vv8tpPBYv9obVShxI8FtfQ6b2/v73f9Ee7u7qdPnpg+fTpGjmQwemV7bI0HCCEOjfrx8Fw5VlVU5GsFhR/ePgUA+MkgNwWggxo5cuT27dsTM/NdLBvftiyqh42xub7mwfDHRDn8+L5fT9mxMNAiEeWuPX07uIeNpYHWq9Sc7WeiFOUJtHrmx8IysTOW3K2N7sWlLvrnnP/wntlF5XsvP1QiEYTrCvA4mS1zRy3Zc2H+jtAVkwcpyhNuv3y38/z9/q5WXnbiG+ctDbTKb+9u9bMrKxB9nC1vPEvq52I5qpdjTnHF0r0XddXJ2+ePEfY5dO3JpuM31s4Ysnb60FbfqIVuPEsyMjRwdJTY6lWhqVOn0mi0xYt/Y5XlmPjvxsrKSfwW3Vz956ysg/5kPO9u9AMDg+Z+IgIAdBCQmwLQQXl6etrZ2By/FXt41bTv90ZoykD37WeiRvd2VJT/ejinAlHu8Mppi3efn7LlOEJIRVE++NfxJAJ+4c4wrwXBlVF7REdYMqF/XNqnK48TrjxO0FVXnjywB0Joz6WHwg6zhnrVM1mbT9y8HpOIEMLJYGcN9d48Z2R7FGk6vGrq3KAzAbsvBOy+gBByMtc/uW6WcPYXIcTj87m8n1FQv57JCnvwJmDZynYaf/78+aampuP9JqYFjzacuk3sNCbQanwep/RJaHHETid721s3IzQ1f/i0WwCAVGD4HeasFACAmLCwMH//2U8PrHYw0/t+76ZRaugp2YVaqsrWhlqCPJJSQ6+i1ZvqNnLKZUU17XNFtb2pblMZJ62emZxVSK9n2pno6mmQ2xKYKM/5wfqaKuGBvwpb+Hz+h0+fcz9XOpvr62s2Uh3pnwv3jbXVJvR3a90df90Zdvd16qerwc13CzwbdfTWi8yPWe2a3GRlZS1a/Fv0wwcanmP1Rq8iaLWohitoHJ9Hffek6FogozR31coVW7ZsIRAI378KANAxwLwpAB3X9OnTjx39d/Xh8Lv/LGnL3KSqEqmfi5VYi6pS49uZ1ZUV1JWbW5OnQJTr5WDWTAdJwWAwdia6diaNVxTKKa4IvfcqaufSdo2hsIx6MPzJ9qDg9p51Mzc3f3D/3s2bN5etWJm0oQ/Z2lvZ0VfB3I2oaYwjkbvqRn4J4rGZHBqlrii9Ov1FTWIUreTTyFGj9+y+ZW5uLu3QAAA/BuZNAejQEhISPDw8gheO/XVsX2nH0r485wdTa+u8HUw9bEx+G9/vu/2j49P1NMnWht8vd/qtsPuvH7z5kJCeT6tnNDNvyuZw/TYeLa3jp7x7LyvbppJYLcflcqOios6dO3/n7r2aaurPuWlXYmpuMX7smDlz5tja2ko7FgBAa8C8KQAdmpub2/bt29dv2misoz7U007a4bSjAW7WheVUHo/fwh+YB7q3vqITn8/n8fgulgaia3O/tebItYTMgtjnL35aYooQkpGRGTVq1KhRo/h8/qdPn3JycqqqqngtOw2rO5OTk1NRUbGzs1OVaBlaAMDPB/OmAHQCc+b4h1+5ciP4VzcrI2nH0l3sPH8vKPRuRETEqFGjpB0LAAB0I5CbAtAJsFiscWPHPnn86N/V08b0cZZ2OF0cm8Nddehq2L1XBw4cXLRokbTDAQCA7gVyUwA6By6Xu2LFioMHD/4+zXfVlMEE/M97y9yt5JdSAvZcTMgsOH/hIsyYAgDAzwe5KQCdyb///vv76tXqyqTt80aN6iX5UvDdWT2TtfvSwwNXHxsZG1+8dNnJyUnaEQEAQHcEuSkAnUxxcfHaNWvOnT/vYG4we4jncG97XXWJFRnthvh8fuLHghvPksIevGFz+Zu3bF2yZMnP3PwEAABAFOSmAHRK8fHx+/fvuxZ+jV5Xp6+lZqqjTlYkYiV3PBMfoQ54uLtko2KyuBU19PS8klp6nZGhwZy5vyxatAhODwIAAOmC3BSATozBYMTGxr59+zY3N5dKpUqq0hCDwXjy5ImXlxeZ3IFmZOl0ekxMTK9evZSUlCQyIIFAUFFRsbW19fb2dnSEBRIAANAhQG4KABA3b968e/fuZWRkyMvLSzuWr3g8noeHB5lMfvjwobRjAQAA0F7gHDwAQANJSUkhISF///13h0pMEUJYLHbfvn2PHj26deuWtGMBAADQXmDeFADQwODBg2k02osXLzCYDrjiFE2ePDkhISE1NVVOTk7asQAAAJA8mDcFAHx17dq16Ojof/75p2Mmpgihf/75p6SkZN++fdIOBAAAQLuAeVMAwBcsFsve3t7T0zM0NFTasTRn69atu3fvzsjI0NHRkXYsAAAAJAzmTQEAX+zdu7ewsDAwMFDagXzH2rVrVVVV169fL+1AAAAASB7kpgAAhBAqKysLCgpas2aNoaGhtGP5DiKR+Ndff505cyYuLk7asQAAAJAweKcPAEAIoYULF96+fTsjI4NEIkk7lhbp168fk8nssHu2AAAAtA7MmwIAUGpq6qlTp/7666/OkpgihPbu3fvmzZuwsDBpBwIAAECSYN4UAIB8fX0pFEpcXBwW25l+Xl2wYMGtW7cyMjIkdVIUAAAAqetM34cAAO0hIiLi4cOHe/fu7VyJKUIoMDCQwWDs2LFD2oEAAACQGJg3BaBbY7FYDg4O7u7u586dk3YsrbFnz55169a9f//ewsJC2rEAAACQAMhNAejW/vnnn82bN6elpRkZGUk7ltbgcDjOzs6WlpbXrl2TdiwAAAAkoJO9wgMASFB5eXlgYODq1as7aWKKEMLhcHv37r1+/fq9e/ekHQsAAAAJgHlTALqvRYsW3bx5MyMjQ0FBQdqxtMmoUaNycnKSkpJkZWWlHQsAAIA2gXlTALqpDx8+nDhxIigoqLMnpgihvXv3ZmdnHz16VNqBAAAAaCuYNwWgmxo6dGhZWVl8fHyn257fqDVr1pw4cSIzM1NdXV3asQAAAGg9yE0B6I5u3bo1evTomJiYPn36SDsWyaitrbWysho3btyhQ4ekHQsAAIDWg9wUgG6HzWY7ODg4OztfvHhR2rFI0qlTpxYsWPD27VtHR0dpxwIAAKCVIDcFoNvZs2fP+vXr09LSjI2NpR2LJPF4PG9vbxKJ9OjRI2nHAgAAoJW6wjozAEDLUSiUwMDAVatWdbHEFCGExWL37t375MmT8PBwaccCAACglWDeFIDuJSAg4OrVq5mZmV31DPoZM2Y8e/YsLS1NXl5e2rEAAAD4YTBvCkA3kpaWduzYsaCgoK6amCKEduzYQaFQdu/eLe1AAAAAtAbMmwLQjQwbNqykpCQhIaFr1I1qSmBgYFBQUFpamqGhobRjAQAA8GMgNwWgu7h9+/bIkSOfPHnSt29facfSvphMpr29vaenZ1hYmLRjAQAA8GMgNwWgW+BwOM7OzjY2NleuXJF2LD/DtWvXJkyY8PTp0y5TwBUAALoJyE0B6Bb27du3Zs2a1NRUc3NzacfykwwZMqS8vLzLHHwFAADdBPyTDUDXR6VSt23btnLlyu6TmCKE9uzZ8+7du5CQEGkHAgAA4AfAvCkAXd+yZcsuXryYmZmprKws7Vh+qoCAgCtXrnTDBwcAgM4L5k0B6OLS09OPHDkSGBjYDfOzbdu28Xi87du3SzsQAAAALQXzpgB0cSNGjCgqKkpISJCRkZF2LFJw8ODBVatWpaSkWFlZSTsWAAAA3we5KQBdB5fLFUtAo6OjBw0adP/+/cGDB0srKunicrmurq4GBgaRkZGi7TweD/ZIAQBABwT/NAPQdURFRQ0ZMiQ1NVXwJZfLXb58+bhx47ptYooQkpGR2bNnz+3bt+/cuSNoYbPZ+/btGzt2rHQDAwAA0CjITQHoOlJSUu7fv+/o6Lh48eKKioojR45kZmbu2LFD2nFJ2YABA8aNG7d06VImk3n//n1bW9vly5c/fPiQx+NJOzQAAADi4J0+AF3HhAkTrl+/zuPx8Hg8Ho/HYDDz5s2Dk+URQjk5Oba2tnZ2dm/fvsXhcBwOByGUmZlpYWEh7dAAAAA0APOmAHQd8fHxgrlAFotFo9HodHp4eHg3OQiqGXQ6/ezZs1wu9927dwghQWKKwWASExOlHRoAAABxkJsC0EXQ6fT8/HzRFh6PV1hYOGnSpL59+yYnJ0srMCni8/lXrlwxMzMLDAzkcDhsNlv4kaysLOSmAADQAUFuCkAX8f79+2+X6AimUZ89e+bu7v7ixQtpxCVNfn5+kyZNKisrE8yVimKz2QkJCVKJCgAAQDMgNwWgi0hOTm60gikWi5WRkTl16lTPnj1/flTSdeDAATs7OxwO9+1HfD4fclMAAOiAIDcFoItISkr6tmAnDoeTl5e/f//+zJkzpRKVdOnp6b1+/XrIkCGNljKlUCjFxcU/PyoAAADNgNwUgC4iPj5edD0lQkhWVlZNTS02NrZ///7SikrqSCRSREREQEBAo58mJSX95HgAAAA0D3JTALoCPp8vLLkvICsra2lpGR8f7+TkJK2oOggZGZl9+/YdPXoUi8WKTqDi8XjYDgUAAB0N5KYAdAW5ubl1dXXCL2VkZPr27fvy5Ut9fX0pRtWhLFiwICoqikAgCJefcjgcWHIKAAAdDeSmAHQFycnJGAxG8GsMBuPv73/nzh1FRUXpRtXRDBky5NWrVxoaGoL0lMfjvXnzRtpBAQAAaAByUwC6guTkZFlZWYQQBoPZvHnziRMnGt2cDhwcHOLj421tbQW/P0VFRVQqVdpBAQAA+ApyUwC6gqSkJBaLhcfjr1y5snXrVmmH06Hp6uo+f/7c19cXIcTn81NSUqQdEQAAgK8w3xbrBqArYTAYsbGxCQkJubm5VVVVglr0Xc/t27c5HE7v3r3V1NTaOBSBQFBRUbG1tfXy8upo+6iSk5NfvXqVmppKpVKZTGZbhuLz+UlJSVlZWc7OzhYWFpKKsEPBYrFkMtnU1NTV1bV3794EAkHaEQEAwPdBbgq6rDdv3hzYv//atXB6Xb2eupKJugKZiMNipB1WO+BweU/TSzzNNBQIsm0fjcnhU+rZ6UXU2jqmob7e3HnzFy1apKmp2faRW62srOzIkSOnTp3Kz89XUlKyt7dXU1OTSKaVk5NDoVDc3d3bPlQHxOPxKBRKVlZWQUEBiUQaP3780qVLu+rDAgC6DMhNQRdUXFy8ds2ac+fPOxipT/cy9nXU0yXLSzuodlRRy5DBYlRIchIck89HyfmUyMT8i6/zWDzM5q1/LFmyRLCk9Wdis9kHDhz4888/5eTk5syZM2HCBDc3N+GuL4lIS0uzsbGR4IAdUGFh4a1bt06cOJGYmDh9+vQdO3bo6upKOygAAGgc5Kagq/n3339/X71KjSS7dazjcGcDaYfT6dWzOPvvfzj8MMPY2Pji5Ss/8y1/cnLylClT8vLyVq9evW7dOnn5rvwDxs9x/fr11atXl5WV7dy589dff5V2OAAA0AjITUHXweVyV6xYcfDgwRXD7JYPsZOTbeRwedA6BZX0FefiEguqz1+4OGrUqJ9wx1u3bk2bNs3Dw+PkyZPGxsY/4Y7dBIPBCAoK2r59e0BAwJ49e2Rk4K8JAKBjgdwUdBEsFmvc2DGPHz06MMtjlIuhtMPpgthc3rpL8Rde5Bw4eHDRokXteq8jR44sWbJk7ty5hw4d+vkLCbqDq1evzp49u1+/ftevX8fj8dIOBwAAvoLcFHQRc/z9w69cvBLQz8W4rRvVBarorKjkAoSQXw9jsSnY3PLalx/L1BTkhjj+vFOX6EwOSU76JUv33Hn/9+13ERE32m/29NatW2PHjv3jjz82btwokQEpFMr169cRQtOnTxfbQZWVlfX06VMNDY3Ro0dL5F7tgcfjiR61KilxcXGDBw8eP3786dOnJT44AAC0mvS/1QHQdsHBwaGhoWcW9pFUYooQIpPwUcmFD94VfSyp2TLeRdjO4fHnn4h9V0A986uPpO7VjJQCSmBEclJeZVUdS0OJMNRRf8t4F8Um9uPz+PyBQXc4vAY/cBqqkc4t7iepeFYMs/9czZg2dUrs8xftsfY0NTV1xowZ/v7+kkpMEUKqqqoRERGRkZHp6ek7d+4UtnM4nEmTJiUmJkZEREjqXk3h8XguLi4cDke00djY+Pbt201dkpmZeejQoRs3blRXV/fq1WvFihUDBw6UYEgeHh6XL18eOXKklZXVunXrJDgyAAC0Bcybgk4vISHBw6PHn36u8/tbSXbkshpG3+23q+isW6sGu5uqCxp3R73fEZky1dt070wvyd7uW0l5lIn7o2Ww2HHuRmQS/kZ8XnZZrbOR2p01vtjG9qoXUeiuG2/Y6JJVSF/f0uqqyB/y7ynBqNhc3tRDMeU8Usr7VMm+cGez2Y6Ojrq6unfv3pXsyCUlJQ4ODhQKJTY21tvbW9C4bdu2zZs3z5kz59SpUxK8V6Py8/ONjIwcHBxUVVWFjQYGBqGhoY32r6+vd3FxKSoqmjZtmpqaWnh4eEFBwd27d318JPwT0f79+1esWBEXF+fm5ibZkQEAoHUgNwWdG5/P79unN7Ms5+byARKtLPRFZGLBL8efmWspPVo/TE5WJr24atBfd7WUiE82Dm9q8lKClp59dS3+0901Q+z1VQQtE/Y9epZRcnxe79Gujaypjc0o9dsX/Wj9MLv/+reTImpdrz+jtgcFr1y5UoLD7tq1a9OmTR8+fGiPzU/h4eETJkywsrJKSkoiEAjv3793c3PT0dFJSUlRUlKS+O3EPHr0aODAgUlJSS2cbF65cuWePXuioqKGDRuGECotLXVycpKXl8/JyZF4bP369WOxWM+fP5dscS4AAGgdOLMUdG7nzp178fJV8ESXdvquOtLFYIKHcVZpTfCtFA6Pv/TsKw6Xd2CWl2QT0/IaxqmnmUl5lWLtb3LK7fVV7EUSzanepgihxE/iPQVyymoxGGSm1e6Zlp6K/KKBln9u3VJWViapMcvKyrZt27Z69ep22pXv5+c3Y8aMjIyMjRs3cjgcf39/NpsdEhIi2cS0tLT00KFDb968EWv/+PEjBoOxtLRs4TghISGOjo6CxBQhpKWlNWTIkNzc3NevX0swWoG9e/fGxcWdO3dO4iMDAEArQG4KOrfgoMCJnib27TlNGDTZXZcsfzQ6/beQF8n5lAX9rXtaaklkZAqNefZZlt++aKf11/93Kb6IWif6KZvL62+r80vfBtmMoA+Z1PjG6tzyWj0VEp3JefCu6PyL7Dc5FVxee70YWepri8fyjxw5IqkBDx8+LCcn164LHw8cOKCvr79nz56ZM2cmJCQsX768X79+Ehm5oqLi6NGjAwcO1NPTCwgIKCgoEOuQlZVlaGhIo9EiIyNPnjz54sULLpfbzGhUKnXQoEGijYK8Nj4+XiIBi3J2dp45c+aOHTskPjIAALQC7IUCndjr168/pKXvXTe0Xe+iTMTvm+U16cCjiPg8Sx3lDWPaugGoqo4VlVRwIyE/NqOEw+Pb6assH2o31Enf0UBVtJusDDZoUoPjJStqGaefZsrKYH0d9BodObe8lsZgu228Uc/6sufGyVD1kH9PC23Jz6QS8bgpnkanTx7fsmVL20fj8/mnT5+eM2dOuxbYJ5PJp0+f9vX1vXjxoq2tbVBQUBsHpFKp165du3z58qNHjzgcjpOT04YNG8aMGePq6irWMysrq6amxtjYuK7uy08gbm5uoaGhjR5JlZGRgRDS0dERbbSyskIISXCiWtRvv/3Wo0ePuLg4Dw+P9hgfAABaDnJT0IlFRkYaaSo7Gap+v2vbGGsoEGRx9SyOqYZiW0r6l9cwloe9eppWwufzvSw0t/q5DnPS11clteTaB++Kloe9rqQxtk1ws9ElN9ont5xGY7D/N8ZpuJNBJY156VXO+RfZs/59Gr1+mDxe8n/ZR7oYHLj/ISUlxdHRsY1DpaSk5OfnT5gwQSKBNcPMzIxIJNbV1VlYWIjVk/ohpaWlc+fOffDgAZ/P9/Hx2bVr15gxY4yMjJrqn5WVVVtbGxgYOG7cuPLy8jNnzpw8eXLMmDGJiYkkkvgfgKysLISQ6K4phJBg8KqqqlbH3Ax3d3djY+Nbt25BbgoAkDrITUEn9vJ5bE8z9fa+C4/PDwh5Wc/iWOoo300pvPI6d6KniVifO8mFEQl5n8pre5hqBPjaaisTGx2qgsZ4+L4Yh8XM7Wc11dvUVq/xFFPMp3LapqsJ998VmWgoHpnT08dau6me+2d5yeGw1rpkhJCppmIPU3UlouyhB2m3Ewu+jbntnAzVFOXlXr582fbc9OXLl0pKSu29VZzH482aNauurs7W1vbGjRuhoaEzZ84U6xMREXHp0qWsrKyePXuuXbu2qXPny8rKoqKicDhcQEDAnDlzvvs7EBISIicnZ29vjxCysLDo2bOnsrLyzp07r1279m0McnJyCCEKhSLaSKfTEUIqKu21fKV///6vXr1qp8EBAKDlYL0p6MQ+pH2w1lVu77scuP/hdXb5jF7mlwL6KxBk11+OL264MPTh+2L/ozFKRNkJHiZx2eUT9kVT6cxGh7LQVj63uJ+fh8nFl9n9A6N6bLq5+erbl1llzawKvRr3aUBQ1IuPZZvHucRsGtFMYooQcjJUtW44pTrIThchlF5c/QMP3GIYDLLSVUlPT2/7UGlpaba2tu29T3zHjh2xsbHz58+/e/euoqLikiVLxBaGRkVFjRs3TllZecaMGc+fPx80aFBlZePbzmxsbG7fvj19+vTTp087OTmZmpquXLkyJiamqVWkbm5ugsRUaPjw4Qih9+/ff9tZW1sbISS2JV+QqmpoaPzAA/8Ie3v7tLS0dhocAABaDnJT0IlRKFXqiq1/LdsS7wqoOyPf6auS/vBz0VWR3zLOpaaevSz0lbD2GpvDW3nutb+Pxc6pHvP7W10I6F9EqTv7LKvR0XBYzCB73f2zvD7s8Dv7q08PM/VzL7LH7n5ov+7asrOv8ipoYv0fvCsKOPPCVo8cs3H4b4Nt8Ljm/sIWU+siEwuKKHTRxk8VNEsABL0AACAASURBVISQuqJcq38HmqcmL9tU9vZDKisrNTU12z5OMxITE7ds2WJkZLRr1y4DA4OdO3dWV1fPnTtXWEePxWLNmzdv0aJF//7777Jly+7cuZOfn3/06NFGR8PhcMOHDw8JCSkrK7tx40bPnj1PnDjRt29fbW3tOXPmiKWVBQUF4eHh+fn5oo2CPo0+taWlJQaDERskOTkZIeTp6dmG34PmaGhoVFRUtNPgAADQcpCbgk6MyWLJyrTjn2Emm7vo9HMOj7dvppcCQRYhNLO3eS9LrZj0klNPMwV9csprS6vrJ3p8eWOupiBnoa10N6Ww+ZFlcdghjvqH/Xt+2DH+1II+fay0b77Nf1dAFesWeCNZiYA/Ob+PXgvWpFLpzF+OP9tzN1W08UZCPkLIy7y90j45HIbBYLR9HBaLJXiR3U4YDMb06dM5HM6pU6cUFRURQgsWLOjfv//Dhw8PHTok6PPx48fPnz8L37BraGhYW1vfvHmz+ZHxePzo0aPDwsLKysrCw8MHDhx45cqVxMRE0T4UCmXChAmBgYGijZcuXUII9enT59sxdXV1fXx8YmJisrOzBS1sNvv8+fN6enrtt+xBTk6OyWx8vh8AAH4mWG8KQJO2RSR9LKmZ29eyt9WXolEYDNozw7Pv9qhtEUn9bHXMNBWzSmsQQhY6XzfCm2kpPc8sbXTAShrz/Ivsb9sdDFTMtBTFVqlW1bHSP1c56KseiRZ/ad7LQnOwg15obNbai29WDXdYNdweIWSrp+Juqh72PEuVJDfc2YDP51+Ny32S9nmki4EEj3LtpNauXZuWlvbbb78NGDBA0ILBYE6cOOHg4LB27VpfX19LS0vB7njRjfNWVlaPHz9udMDy8vJGT5NycXGxtLQUW6Xq6Ojo7e19/PhxNTW18ePH83i8sLCw+/fv+/n5CfceHTt2bPHixZs3b968eTNCaP369SNGjJg0adKGDRtUVFR27NiRk5MTGRkJ5fEBAF0e5KYANO5pWsmJJxnGGgqbxjmLthupK6wf7bjp6tuAkBeRq31zymqxGIwS4WvBUUM10p16dqNjltXUb49IauqOdnoNtrm8yS7n81FKASWlgCLWE4PQYAc9Ph9xeXzhK2kMBp1Z6LMi7PW+e6n77n2ZPfX3sfjDT7yeUXfz4MGDAwcOmJmZiZXwNDU1DQwMXLFixaxZs54/f/7x40csFqus/HUFs4mJSURERKNjlpSUNFOKVezwJwwGExERMW/evODg4ODgYEHjokWLdu3aJezD5/O5XK7wv6avr29oaOi8efP8/PwQQmQyeffu3cJS/AAA0IXBmaWgE8NgMMd+6T3GrZHTO3+af6PTt4S/zdo9UXhS1NZriU/TPj/eMFxaIRVS6FmlNcpEvIW2kkI7H6w6/0SsnJnn5cuX2zjOpEmTEEJtH6ctdu/evWrVqurqauFJUatXr37w4IFgoadE5OXlZWRkkMlkGxsbwdKC5nE4nPj4eB6P5+npKSPT+uJlLXH58uXJkyfDdwQAgNTBvCkAbaKpREAI5VXQhGdTVdYyWlgcqp3oq5JaWDMViBLujnd2/jJTXl5e3vbyWKKMjIyaqYH6LRwO5+XlJcEAAACg44O9UAC0iZe5JgaDUvK/vHbn8fnPMkpt9drxDFXQTvr06YPBYN6+fSv4ksfjRUdHSzY3BQAA8F2QmwLQJroq8oPs9XbcSnlfSK1jcYJuJNMY7OHO+tKOC/wwAwODESNGbNq0KSkpiU6nr1+/vra2dty4cdKOCwAAuhd4pw9AWx327zn10OOBQXewGIyyPP7InJ4mGt9fSgg6oLCwsGHDhrm4uGCxWBUVlXPnzpmbm0s7KAAA6F4gNwWggbsphUw2r4X7q4Sdb6/2LaTQK2lMBwMVbJur/PD4/B8ahM7kkOSa+7tMY7DZXJ4KqR0LiHY6N27cYDKZgj1YQsrKyi9evMjLy6uoqBBkqM10bjsejye8BQAAAAHITQFoYM+d9xQaq4W5qWjntu9Ayi6rPf00805yYW0928NMfeFA6z5WzZ1QmlJACYxITsqrrKpjaSgRhjrqbxnvovjNxnwqndlve5QiUTZ280hBC4/PHxh0h9PwoFRDNdK5xf3aEn/nsn379srKykbTzW93LDXTuRUyMzMPHTp048aN6urqXr16rVixYuDAgU115vF4Li4uHA5HtNHY2Pj27dsSCQYAADoayE0BaGBuX0sGu/Ej0dvYuXkMNnfWkaefq+rG9zBWJclFJubPOPz04pL+3k0c6ZSUR5m4P1oGix3fw5hMwt+IzwuNzXpXQL2zxldsznV56OuS6npF4tec9TO17kNRlY0uWYX0tSwrWR6PupOAgID6+vr26Ny8+vr60aNHFxUVTZs2TU1NLTw8fNSoUXfv3vXx8Wm0f2FhYUpKioODg6qqqrBR9NcAANDFQG4KQAOTvUzbqXPzgm4kZ5XWnP+t30A7XYTQ/P5W/YOilp559Wbb6Eb7n3qaWc/m3l0zSFC7au1Ixwn7Hj3LKIlMLBjt+nXSNyTm46MPxWRSg7wzt5yGEDrk722n333rCcyePbudOjdvw4YNGRkZUVFRgkL6y5Ytc3Jy8vf3z8nJabR/VlYWQig0NFSsnj8AAHRVsNQJdEcfiqrmHHvmvunGrH9jLr3KiUkvmXc8lkpnIoQ2XI5fdvaVoNvKc6//dym+pLr+11PPXTfe8Nh8c3noqzrW17erop3b6NKrHFs9siAxRQhpKBH62+jkV9LefqpstP+bnHJ7fRV7keRyqrcpQihRpH/G5+ot4W83j3PRUmpwGmpOWS0Gg8y0lFBXl5KSMn78eBMTkzFjxpw5c+bhw4cTJ06srKxECC1dunTOnDnCnvPnzw8ICCguLp42bZqRkZGZmdncuXPpdLrgU7HObRESEuLo6Cg84UlLS2vIkCG5ubmvX79utP/Hjx8xGIylpaVE7g4AAB0fzJuCbudlVtnUg0+IeJkBtjoyWOz/LsXrqsh/LKn5c4KrCgnF51ZQaCxBz9RCaiWNeSe50FCNNM7N6O2nigsvc2rq2acW9BF0EO3cFhQas6qONcW7wSysIHdMyqt0NVYT68/m8vrb6rgYNWgvotYhhIRTpEw2d+HJ517mmvP6WYXGZon2zC2v1VMh0ZmcZ+kl5bUMC21lV2M1GWxXO6g9JiZm2LBh8vLyQ4cOlZGRCQgI0NfXT09P3717t5qa2suXLwVJqkBSUlJFRUVERISJicmUKVNev359+vTp6urq8PBwhJBY51arqKigUqliaa4g74yPj/f09Pz2kqysLENDQxqNFh0dXVpaamNj8xPOiAIAACmC3BR0Lzw+f8PlBDkc9sG6oYKtS4sGWQ/+625T/Qsq6Ut8bTeMccZgEI/PH/LXvWcZJd+9C4XGPB3zsalPR7oYWOkoi7ZkldYghLSUG8xummkpIoQqahnfjiArgw2a5C7aUlHLOP00U1YG6+ugJ2j543piSXX9pSX9v93xn1teS2Ow3TbeqP9vDtjJUPWQf08L7a4zk8rj8ZYuXSonJxcfHy/Y2LRq1Sp3d/dmLvn06dPatWuDg4MxGAyPx+vRo0d0dHTzd6moqDh8+HBTn/r5+dnZ2Ym2ZGRkIIR0dHREG62srBBCZWVljQ6SlZVVU1NjbGxcV1cnaHFzcwsNDbWxsWk+NgAA6KQgNwXdy7sCamohdekQW+Geehtd8lg3oyuvcxvtT5CV+X2EgyC9w2IwHmbqKQWU4qo6XbJ8M3eppDH/jkxp6lMzTUWx3DS3vBZ9sxvJQJWEEKqpZ3/3oR68K1oe9rqSxtg2wc1GlyxoOfkk8/SCPmL57n+3o9EY7P+NcRruZFBJY156lXP+Rfasf59Grx8mj+8i/yYkJiYmJyevW7dOuOPewcFh8uTJoaGhTV1CJBK3bt2KwWAQQlgstlevXm/fvi0sLNTXb/IkhfLy8i1btjT1qaWlpVhuKlg8KraTSRBhVVVVo4NkZWXV1tYGBgaOGzeuvLz8zJkzJ0+eHDNmTGJiIokEJ9MCALqgLvJ9CIAW+lROQ0h8qaVYpihKXZEgJ/v1/amyPB4hRGdwmuovYK6llLdvclOfysqIr/OWw8kghKrqGiwPqGNyhHdsyqdy2qarCfffFZloKB6Z09PHWhshVFpdvzT01fReZsOdDRq9av8sLzkc1lqXjBAy1VTsYaquRJQ99CDtdmLBRE+T5h+ts8jOzkb/TUkKiWWKYjQ1NQkEgvBLFRUVhBCNRmvmEmtra+F05rfwePH/dnJycgghCoUi2ihY1Sq43bdCQkLk5OTs7e0RQhYWFj179lRWVt65c+e1a9dmzpzZTGwAANBJQW4KupfqOhZCSLVhFXpew0qfooj41izsw2AQQfYHLtRUIiCE8ioapEHUOhZCSE2hyYL5V+M+rbkQh8FgNo9zmd/fCo/7kvKGPPtIoTFr69nCfVolVfV8xF929pWpluKyIXZOhuIViAbZ6R56kJZeXN3ymDs4KpWKEFJTa7Akl8ttruAXkdjIHDOf3+SfDYQQBoNp9KqmaGtrI4TEtuQLUlUNDY1GL3FzcxNrGT58+M6dO9+/f9/y+wIAQCcCuSnoXgzUSAihuOxy4bpMhNC7Aqpk71JWw9gd9a6pT6f2NBPLDk21lDAY8dw0tZCKEHI1Vm90kAfvigLOvHA3UT86t5dew5r/agoEe32VnLJaYQuTw+Xx+e8LqVgsppha9/ZTpYuRquhVnypoCCF1xa5zcJSxsTFC6Pnz56NGjRI2JiYmSvYuJSUl27Zta+rTuXPnimWWlpaWGAxGLDdNTk5GCDW6EaqgoCAuLq5Hjx6Ghl/rggku19RsvPAtAAB0dpCbgu7FWlcZh8U8TSvZOPZLS14FLSb9+9ubfkh1HSvsRXZTn3pbaInlptrKRG9zzZcfyz6V04w1FBBCbC7v2ps8HbL8t3OcAoE3kpUI+JPzG1lROq+f5bx+DUoODQ6+W8/mRK8fhhBKLaT+cvzZzN7m/0zzEHa4kZCPEPJqos5/Z2Rvb4/D4R48ePDXX38JWnJych4+fCjZu1RVVZ04caKpT/v27SuWm+rq6vr4+MTExGRnZ5uZmSGE2Gz2+fPn9fT0vp0fRQhRKJQJEyYsWLDg6NGjwsZLly4hhPr06SOxxwAAgI4EclPQveiQ5ecPsD7yMG3p2Vdj3AxzympPP82U+F0stJUK90/5oUuWDbWbfujJ/BOxy4fZkeXxB+5/yKughS3uK9iGFRqbtfbim1XDHVYNt0cIVdWx0j9XOeirHolOFxunl4XmYJEp4W/Z6qm4m6qHPc9SJckNdzbg8/lX43KfpH0e6WLg8k2xqs5LT09v2bJlu3bt8vf3nzx58sePHw8dOiTxu1hbWzOZzB+6ZP369SNGjJg0adKGDRtUVFR27NiRk5MTGRmJ+a+ewrFjxxYvXrx58+bNmzc7Ojp6e3sfP35cTU1t/PjxPB4vLCzs/v37fn5+Hh4ezd8IAAA6KchNQbezcayzMlH26KOMS69yVEhyEzyMlYiyu6LeK3xzEv3P1M9G55B/zxVhr+cee4YQUibi/5zgKizFz+cjLo8vXPv4Jrucz0cpBZSUAorYOBiEms9NMRh0ZqHPirDX++6l7ruXKmj097H4w89Vwo8kbX/99ReZTN67d++ZM2fU1NSmT59OJpP//PNPJSVplsry9fUNDQ2dN2+en58fQohMJu/evVtYih8hxOfzuVyu4L81BoOJiIiYN29ecHBwcHCwoMOiRYt27dolleABAOAnwDS/0h+AjgyDwRz7pfcYN8Pvd21MVR1LULZp/eX4+++K4reNkWh0rcHh8ZPzKnl89BOK4RdS6FmlNcpEvIW2Uqvz8vknYuXMPC9fvtzGYCZNmoQQavs4jaJSqYJd8EuWLImMjMzNbbxe2M/E4XDi4+N5PF4LC+nn5eVlZGSQyWQbGxtFRcX2COny5cuTJ0+G7wgAAKmDeVPQvTDY3PF7o91M1LdNcBUkpnUszuMPn+07xsnyOCzGzaTxzU8Sp69K0lftsgUy6+vrBwwY4OXltWfPHkFiSqfT79275+zsLO3QEEIIh8N5eXm1vL+RkZGwUCsAAHRtkJuC7oUgK6NCwp98klFbzxrsoFddx7rwMudzVf3uGY3skgadF5FIVFVVPXDgQHV19ciRI6lU6unTp4uKiprZugQAAKAjgNwUdDtH5vTadzf1afrni69y5PE4RwPVsEV9vbvQFnUgcP78+aCgoAcPHoSEhJBIJFdX11u3bvn4+Eg7LgAAAM2B3BR0O0pE2U3jnDch55p6tgIBh/32vPl29vB9MY3BHusOr2jbl7Ky8o4dO3bs2FFdXa2oqIjFih/HJRFRUVE1NTVTpvxYWYb2w+fzq6qqmjplCgAAOj7ITUH3pUSUzsb8Qw8+fCqnSTc3fZZRsv5yQqMfORmqHpzt/ZPjaVfKyk2eSdt2f//9d3Z2dkfITalU6po1a86dO1dfX6+o+H/27jwuxu0NAPiZZtr3fd93lSRJG1pEkaUIqaxZriXcS0Ru1sLFDZE1S1xCpUQLKWlDyt6utK9TzTStM/P7Y+6vmzYtU9PyfD/9UWfOe95nvHrn6bxn4baysvL19RUSGqbhywAAQC+QmwIwHmEQhhnbuR+xuZWcU16vIDwk08DBkGppabG2tk5JSVmzZo2BgcGbN28uX75cVFSUkJDA6NAAAKB/IDcFYDwyVhWNcbfqVOge+I7Q1HrSARZ1H31u3ryZnJz8119//f777wihtWvXYjCYS5cuvXv3bsqUKYyODgAA+gFyUzCONLeSfSK/PHyTX1JLkuLnNFYV9bTVaV/aMzGrPPT9j7iMsqYW8lQlYUNlEUcjJdoiozvvpLS2UXZaa56N/Br7tVRehNvBUHHxVDm/FxmP3uQX4xu0ZQSO2k9REPm3x3H9tdcakvyGKqJXXmbEZ5YLcbPZ68tvnqXe7djWusaWY48/JGVX1DQ06ykIrzBUtNCU6GPMdBTztdQ/LvvBNjMRHja6N053TU1NXl5eAQEBRUVFMjIyZmZmf/31V/vCn7GxsQ8ePIiOjm5sbDQ2Np4xY4aLi0v7MqIuLi4tLS0eHh7e3t6RkZHKyspr1qxxdHQ8ffr0nTt3CgsLdXV1z549q6ysjBBaunSptrb2zJkzfXx8YmJiREREnJ2dd+3a1dPo1draWnd391evXlVVVRkaGq5bt87a2rovMQ9SQECAiIjI1q1b20vc3d2NjIyEhYXp0j4AAAwbyE3BOOJ2721gyvclU+U1pfkLqoi3X+d8K6kN/8MSIZSQVb7kbAw3O7OdnpwAJ2tcRtnuf94WVBEPLNJBCH0pwpfgSa8yyng4WIxURUNSCxKzy4Pe5sd9KzXXlJQS5Iz+XLz4bMy7w/Np2eerjPIPP2rOR381UhF1MlaK+1Z6JCQ9r4JwpstKVSW1pPmnoqsJzfbT5HnYmV9+LXW6GHfQTme9mdovY6YjfEPz9tvJC3RljFVF6dvyEPntt99u3brl5OSko6OTm5t75cqVT58+JSYmIoRevnw5a9YsXl5eBwcHISGh6OjoTZs25eXlnThxgnZsenp6UVHR8+fP+fj4TE1N79+/Hxsbe/fu3ejoaGtra1lZ2fDwcAsLi+/fvzMxMb148SI1NfXEiROmpqbr16+Pioras2dPdnZ2t2tRFRUVmZiYVFZWOjs78/LyRkZG2tjYnDp1avv27b3HPHjZ2dlWVlYsLCx5eXmfP3+WlJTU1tZ2cnKiS+MAADCcIDcF40VLG+Xhm3wLTUkf53/XPJcV4tr/IDW3gqAowh30tgDLhHlzaD4vOwtCaKvlBL0DoVGfimm5KUKoor5p73zt7XM0EEKLpsg6+MYmZJW/OjBPUYQbIbTtVvL95LzvlUTF/3ed5lcSDy2evMFMDSG0x2biYp+Yf5JyV01X1pYR6BjVkZD0wuqGZ7tnT5YTRAjtnjtxme/LQyHp9voKfJwsvcfcsZ0aYrP/q+ye3vs8HWlV8d7mA7nde1dHavFYOCLWpf+l5ubmgICAuXPn+vv700oUFRVdXV2zsrJUVFT++ecfHA6Xm5vLx8eHEHJzc1NQUAgLC2vPTRFCZWVlR44c2bdvH0Jo+fLl1tbWsbGxX758UVFRQQitWrXq5s2bOTk5tB9zc3NPnz69Y8cOhNDhw4ctLCyuX7++adMmXV3dToHt2bMnPz8/OTlZX18fIXTw4EErKys3NzdnZ2dOTs5eYu7UTlVV1YULF3p6+3Z2dhoaGh1LiERiaWmpqKiojY3NkydPaIVqamr+/v79WuEfAABGAshNwXhBplAQQolZ5Z8K8VrS/AihtTNVVhgpsuKwCKGN5mrrTFVoiSlCqIVM4WFnJjS2th+OZcJstlCnfa8hxY8QMlEVbU8QDVVE7ifnZZXWtZfwsrOsN/2375MJg9k+RyMhqzz2W2nH3LS2oSXobf4kWUFaYooQYsYxORkpvc4sD08vXGGk2HvMHVUTm088+djTe1cU4e4lN80srQt9X+A6W0NylGwTRSaTEUKxsbFpaWk6OjoIoS1btqxdu5aNjQ0htHPnzq1bt9ISU4RQS0sLHx9fXV1dxxawWOyuXbto32trayOEzMzM2nPEmTNn3rx58+vXr7QSPj4+WscnQoiJicnd3f3ly5dRUVGdctOampq7d+/q6enRElOEEAsLi4uLS0xMTFBQkIODQy8xd1JZWfnnn3/29PZVVFQ65aY5OTkIIR8fHyUlpXPnzhkaGiYkJLi5uS1YsODTp08iIrB2LwBgNIHcFIwX7Cy4P+ZqeYV+sPB6pizGY6wiaq4paTpBnDaiVFmMB9/QfPH5t3ffqwqrG/IqCISmVjFe9vbDRXnZmXH/DjFkw2ERQqK8HO2vYjEYhFBLG6W9RF6Eu+PgUlpqmF9J7BhSTnk9lYoamlvXX3vdXkhLiPOrCL+MuSMlUZ4Cn6U9vfeuU/I7Oh/1lRnLtMlcvZc6IwoHB8eff/65f//+yZMnq6urm5qaWltbz549mzaiVE1Nrbq6+tSpU0lJSfn5+dnZ2fX19RISEh1bkJCQYGH59+8QWnbYsQKtnZaWFtqPysrKmA7XkpYX5ubmdooqMzOTSqUSicSlS/+7EPX19bTKvcfciZqaGolE6untt0ferqamBiHU3Nz88OFDNTU1hNDkyZPLy8uPHj167969bdu29dQUAACMQEOyGDUAI9P2ORopB+fvtNbkYMHdjM9xvBA7/dCTivomhJBv9Ddt95DTzz63kqnT1cTOOk+bqvjTJBJO1s5/yPW+lLtoh7wWIcTBikMIsTH/lIjgG5oRQqw4LA7L1P7Fz8VqN1VOVZzvlzF3hMEgNmZsT19dc9l2xTUNQW/zrbSl+Tg7Zzwj2b59+3Jycjw8PDg4OPz8/ObNm6ehoVFWVoYQOnnypJSU1OHDh1tbWy0sLG7cuGFkZNTpcE7Ozj3EvazMLy4u3vXYrv2d1dXVCCFWVlbmDgQFBVesWEFLZ3uJuRMMBsPes67prKSkJEJo2rRptMSUxsbGBiH07du3nt4XAACMTNBvCsaL1jYKqbVNWpDTbd5Et3kTK+qb/o74fC0262ps5gYztSMh6YLcrMmeNu1T4P+O+DKY032vJHT8sbC6ASGkKMrTsVBWiAshpCDCfWGVYXshmUIlNrdyMON6j9l9vnbHpirqm04//dRTMMsNFTuNc21363VOG4W6wlCx3++QcVpaWkgkkpyc3KFDhw4dOlRWVnb06NHz58+fO3du+/bte/bsERYWzs7Obp8Cf/To0cGcjvbEvF1+fj5CSFVVtVM1BQUFhJCysnJAQEB7IZlMJhAIHBwcvcTcNbyysrLDhw/3FM+aNWs6DSeQkZFBCLW2tnYsbGxsREO87wAAAAwFyE3BeBGfVb78/EvfVYaLp8ohhER42DZbqF+LzaojtRRWN1Co1LmTpNsT0xI86XMRXph74Ksp5ZXX51UQ2leV+icpDyGkKcXXsY68MLcgF+vLr6WtZEr7Y/ezkV+8wz6G/j5LX1G4l5g7na6O1BKQ2PkpczsDZdGectPYb2V8nCwmaqNjej5NTEyMlZXV7du3HR0dEUJiYmK7du06f/48Ho8vKCigUCi2trbtiWlhYWF6erqo6MDfYFZWVnZ2Nm1JKYQQbTLTpEmd540pKSkJCwtHRka2trYyM//7H8nLy8vDwyM+Pp5IJPYUc9cz1tbWdrsOAM2MGTM65abs7OxmZmYxMTEd4wwJCUEIGRoadtMEAACMYJCbgvFiqoKQEDfbqaefJPjYNaUFvlcSaD2jFpqSSqLcnKy4kNQCcw0JJVGeN3mVx0M/crMxNzS35ZTXK/3c2dlHZCp15aVXe20mKoryhKcVXn2ZuUBXZprST7NSmHFM+xdO2hGQsvlG4hbLCdxszBEfik4/+zxDXWyqgnDvMXc6nbIYT9HZfm+bWUtq+fijxlJLstuFV0csIyMjERGRQ4cOSUlJ6ejo5OTk0Loe586dq6qqysXFdf/+fSsrKzU1tYSEBA8PDx4eHiKRmJmZ2bWzsy/IZPLChQuPHDmioqISFBR09uxZe3t7ExOTTtVYWFi8vLzWrVvn6Ojo5ubGw8Pz+PHjI0eOzJo1y8jIiEgk9hRz1zOqqak1Nzf3K0hvb299fX17e/tjx45JS0vHxMRcunTJ2Nh4/vz5A3jLAADAQJCbgvGCi4354mrDrTeTFv39glbCyox1n689S1MCIfS307Ttt5OdLsYhhPg4WQ4v1uVgwW29mTTjcHjx+eUDOJ2Jqpg4H8faK68pVCpCyFBF9Pgyva7VHAwVSS3kQ8Fpj1N/IIRwTJgVRkru87VpuWLvMQ9eQlY5hUqdojDKtlzn5ua+c+fOypUrTU1NaSVsbGxHjx6l5XnXr19fs2YNLScTEBA4c+YMJyfnypUrNTU1Oz317iNzPrh+hwAAIABJREFUc3NJScnFixdTKBSE0MyZM3ta4Gnt2rUkEmn37t2BgYEIIRwOt27duqNHj2IwmN5jHjw9Pb3w8PDVq1e3L/U/f/789vWqAABgFMFQqVRGxwDAAGEwmMtrjRfoyvT9kMaWtq/FtUU1JEEuVjUJXqEOT+3xDc2fCvGivOwqYry01BDf0FxLapHv//7yarse6cgK/LPFtJbU8qGgRpyPXaXX5UWJTa2fivANTW0TJPkk+Dk6vdpLzAzncvU1q6I+LRUbDHt7e4RQv9ohkUgfP3788eOHkJCQpqZmx5WSqqur09LSxMXFJ0yYQJtiX11djcfjlZSU+huYkJCQnp7es2fP8Hj8u3fvJCUlJ0yY0PshBAIhLS2NSCRqaWlJS0v3MWa6aG1t/fz5c2VlpZaWVqcpXL8UGBi4dOlS+EQAADAc9JuC8YWdBacrL6Qr381L/Jys09XEOpXwc7IO5nR8HCwz1MV+WY2LjdlAqcc0pZeYxzMODo5p06Z1u7a8oKCghYVFpxJBQcHBnI6fn3/WrFl9qcnNzT19+vRuX+olZrpgZmamLZ4KAACjF6whBQAAAAAARgrITQGgP1FedgGuQXW4ghFCXFxcSGiUjccFAIBRDZ7pA0B/cfutGR0CoI9Pn3pcNRYAAMBQgNwUgB49/1xCbGpdOEWW0YGg269zqonNCCFlMZ65k/6bXkOlorrGFj4Oem7pFPutNL2gBiHExozdaK72y/qjwtOnT+vr65ct6/cyW0Ph8uXLlZWVCCF1dXVbW9v28ra2NgwG0+0upn3R9fCoqKi3b98ihNjZ2Xfu3Dm4qAEAYJhAbgpAj3yjv+ZXEkdCbnr5ZWZhdYMYL7u5hjgtN60ltRwKTnv0Jr+plczFxmyuIe69VG8AAwmm/RlmqCJyeoV+e8n779WBKd8rCU04LGbM5KYnTpzIzc0dIbmpj49Pfn6+hISElZUVLTe9c+eOr69vWlpaW1uboqLili1bfvvtt162Ue2kp8NTUlJu3bpVXl7OzMwMuSkAYLSA8aYAjA4GSsLJB22O2k9BCLW2URx8Y+8m5trqyZ1x1F80RfZx6g9nv7j+tnkvOa/T3qoIoZ3WmskHbay1pegTN+jO9OnTs7Ozz549ixC6deuWk5MTHo93dXX97bffiETi1q1bjx071semejncw8MjOzt70aJFQ/hOAACA3qDfFIDR535KXur3Kk9bnU0W6gghB0NFDAbdis9JL6iZJNv93qQdldSS/gr/lF5Q86Womw0zwTA7deqUsrJySkoKDw8PQsjNzU1eXt7X13f//v3DcDgAAIw00G8KxjL3wHfzT0WX1zV2LPz9zhv7czGtbRTaj4lZ5XvuvTXwDNNxD9lwPeFmfDaZ0s3y41tuJv12I7FjydnIr/NPRbd1qFzX2OJ27+30w+Gae4JWX45//rlkCN4TQgg9TMkX4mZbN/O/HTi3z9Y4v9JAiLtPz/Qbmtryygk8bMyTZAe15Ocw27p1q4mJSWlpacfC9evXW1patrS0IIRiY2M3b96soqIiLS29fPlyPz8/MpncbVPOzs60fe3beXt7m5iYtLW10X6sra397bffNDU1xcTEbG1tnz59OjTvCdXV1X3+/NnKyoqWWSKEJCQkzMzMampq+rKL1SAPBwCAEQj6TcFYJi/MfS02Kzy9cM0MFVpJWV3j3cRcm8kyzDgmhFBCVvmSszHc7Mx2enICnKxxGWW7/3lbUEU8sKjzAuYfftR02jLneyUhJbeSSqEiJgxCqKSWNP9UdDWh2X6aPA8788uvpU4X4w7a6aw3o/+QzbxKgrmGBDOOqaCKmFFSK8bHoSHFv0S/r6vzK4vxhOy0oL2FaX+G0T28IaKkpHT+/PmgoKDNmzfTSkpKSq5du7ZkyRIWFpaXL1/OmjWLl5fXwcFBSEgoOjp606ZNeXl5J06c6NpUamoqbQPSdtnZ2a9fv6YVFhUVmZiYVFZWOjs78/LyRkZG2tjYnDp1avv27XR/Uzgc7tWrVwoKCu0ldXV1Hz9+tLS0ZGZmHurDAQBgBILcFIxltnpyno/eh6X9l5uGphZQqNTlBv9+lge9LcAyYd4cms/LzoIQ2mo5Qe9AaNSn4q656S8dCUkvrG54tnv2ZDlBhNDuuROX+b48FJJur6/Ax/nTPPoaYrP/q+ye2pmnI63a6wanDc1t5XWNwtxsjhfjoj8V0wqVxXh8nKbpyo/llTgdHBz++OOPhw8ftuemgYGBFApl9erVCKF//vkHh8Pl5uby8fEhhNzc3BQUFMLCwrrNTXu3Z8+e/Pz85ORkfX19hNDBgwetrKzc3NycnZ0FBH4aMlFVVXXhwoWe2rGzs9PQ0Oj9XJycnEZGRrTv//7774KCgvDwcDKZvHfv3r6EOsjDAQBgBILcFIxlglysZhoSL76UVBGaaNvQB78rEOfjaN9HdKO52jpTFVpiihBqIVN42JkJjf1+GFrb0BL0Nn+SrCAtMUUIMeOYnIyUXmeWh6cXrjBS7Fi5mth84snHnppSFOHuPTelzV66/DJDXpj7mP0UPUWhN7lVh4PTnP1exe23pr3NMUlYWNjKyurp06cVFRW0nejv3bsnKSlJ20p0586dW7dupSWmCKGWlhY+Pr66urr+nqWmpubu3bt6enq0xBQhxMLC4uLiEhMTExQUtG7duo6VKysr//zzz56aUlFR+WVu2tG+fftIJBJCSENDg52dvb+RD/JwAAAYISA3BaMYDoulULsZG9rR0mkKUZ+Kn6YXOZsoFVY3vM+vdp2twYTB0F5VFuPBNzRffP7t3feqwuqGvAoCoalVjLffn+s55fVUKmpobl1/7XV7IS3Hza/qPBFeSZSnwGdpT00xY38xCry2oQUh1NJGueZioizGgxCaKC1QWd/4d8SX4HcFLqaqvR9OX20UxDHQ9Tg7wmKxtDGjvVu5cmVYWFhwcPCGDRvy8/NTUlL27t1LW2tJTU2turr61KlTSUlJ+fn52dnZ9fX1EhIS/Y0kMzOTSqUSicSlS/+7RvX19Qih3NzcTpXV1NRo6WC3WFj6t+5sQ0MDbWiBu7u7vr7+jx8/xMTEhu1wMpmMw8EnAgCA8WAuFBjFeHm46xt/kdBYaknycbCEpf1ACIWkFiCElhr8NzjPN/qbtnvI6WefW8nU6WpiZ52nTVUU7uPZ8Q3Nnb5nxWFxWKb2L34uVrupcqrifJ0OxGAQGzO2py8sE6b384rxsSOEdOWFaIkpzeyJUgih7LL6PgZPL4TmtvauysHg5eXtSx/nvHnz+Pn5Hz58iBC6f/8+QmjVqlW0l06ePCklJXX48OHW1lYLC4sbN260P+zui5qaGto31dXVCCFWVlbmDgQFBVesWNG1ExSDwbD3rC+r6FOp1I4jX5WVlVevXu3t7d3a2tqXCViDPLyj2tpaXt7eOuwBAGB4wF/JYBSTk5PLLe/cK9kJC45pga7snYQcfENzyLsCPQUhRRFu2kvVxOYjIemC3KzJnjZcbP9OHPk74ku37WAQ6jR/P6f8v0RQVogLIaQgwn1hlWF7IZlCJTa3cjB3/i2rqG86/bTHnTCXGypqy/S2DpSUACdCqI3801SeppY2hBAP+3BPf8kpJ9h0mIgzYPLy8uHh4b+sxsrKunTp0qtXr1ZXV9+7d8/Q0FBFRQUhVFlZuWfPHmFh4ezsbG7uf6/v0aNHe2oHg8F0mguVmZlJ+4Y2r0hZWTkgIKD9VTKZTCAQODg4OrVTVlZ2+PDhns6yZs0aXV3d3t+Rt7e3u7t7eHi4tfV/+9wKCQkhhAoLC3s/dvCHd5SVlaWoqPjregAAMMQgNwWjmK7e1Pcxj39Zbek0+Zvx2eeivn4uwnfcAKmwuoFCpc6dJN2emJbgSZ+L8MLdDdmUEeSMzShrJVNoz9wzS+vyK4ntr8oLcwtysb78WtpeASF0NvKLd9jH0N9n6f/cF1tHaglI7Px0uJ2BsmjvuSkbM9ZYVfR1ZnleBUHh/3n20w9FCCE9hWGdC1VSSyqtIejo9HveWFe6urpFRUVFRUVSUr9Y83/lypV+fn7Hjx9PT0+/cuUKrbCgoIBCodja2rYnpoWFhenp6aKiot02IicnFx0d3draSpvM/uXLl5ycHNpLSkpKwsLCkZGR7a8ihLy8vDw8POLj442NjTu2U1tbe/Xq1Z5CnTFjxi9zUy0tLYRQdHR0x+SS9r60tbV7P3bwh3eUkpIyadKkfh0CAABDAXJTMIrNnj372tWrlfVNwjy9TQDSlRdSFOH2e5HBzoKbryvTXq4kys3JigtJLTDXkFAS5XmTV3k89CM3G3NDc1tOeb2SKE/HRibLCUV/Ltl2K9nJSPF7JfFc1FduduYa4r+P9ZlxTPsXTtoRkLL5RuIWywncbMwRH4pOP/s8Q11sqkLnQQLKYjxFZwe1eabHwklzTkS6XH3tvkBbkp8jPrP81uscfUVh2pN9hNClmIyDQWm/W2v9bq05mBP1LvJjMScHu4mJyeCbMjY25uTkDAsL27RpU+81p02bpqKicvr0aQ4ODnt7e1qhqqoqFxfX/fv3rays1NTUEhISPDw8eHh4iERiZmamqmrnMbj6+vrh4eGrVq1ycXHJyck5fvw4Ly9vVVUVQoiFhcXLy2vdunWOjo5ubm48PDyPHz8+cuTIrFmzug4SUFNTa25uRoNgbW2tpaV17tw5Pj6+2bNnFxcXP3jwICwsTE9Pb968eQihM2fO7Nq168CBAwcOHBjA4X1UVlaWkpKya9euwbwXAACgC8hNwShmZWXFw811NynXdfYvZkMv0Zf3Dvs4d5IUN9t/T7252Jj/dpq2/Xay08U4hBAfJ8vhxbocLLitN5NmHA4vPr+8YwubLNTefa8Kepsf9DZfnI9jib4cQuhs5Nf2Cg6GiqQW8qHgtMepPxBCOCbMCiMl9/namF8MHx2ISbKCd36b6Xo72cE3llYye6LUWadp7RUoFCqZQqX+aqLYIN1J+m5nt5iVtU8L/veOjY3N1tb26tWrv8xNEUJOTk4eHh62trbtC85zc3Nfv359zZo18+fPRwgJCAicOXOGk5Nz5cqVmpqaXVeh//3335OSku7evXv37l1JSUknJyeEkLe3N+3VtWvXkkik3bt3BwYGIoRwONy6deuOHj2KGYJrycTEFBIS4ujo6Onp6enpSSu0tbU9e/YsbWYShUIhk8k9XcpfHt5H/v7+fHx8c+bMGcx7AQAAusAM9acXAENqz5491y6eSzhgzcfRvznR7fANzZ8K8aK87CpivLTcA9/QXEtqkRfm7lq5mthcWkvSkOTvKUshNrV+KsI3NLVNkOST4O88PHHATA6HS/Fz/LPFtGNhK5mSUVJXTWxSl+AT7bK2wN8RX2SFuBZNkR3YGbfeTIr6XJx5cnFPFZ6mF6658jolJUVPT29gp+jk7du3+vr6jx49GvD+79XV1WlpaeLi4hMmTKDlkdXV1Xg8XklJqdv6lZWVxcXF2tra3SadBAIhLS2NSCRqaWlJS0sPLKRuaWhoyMjIPHv2rL2EQqF8//49IyODnZ1dVVVVUlKyY/2jR48qKCgsX768S0t9OnzlypVPnjyhzfHqFh6PV1VVXbNmTXt2DgAADAS5KRjdCASCqrLSPA2BI4snMzqWIdRtbtqL75WEpedehuywGHB+3Htu2tJGmXEswshi7q3bAd1WGBgnJ6fExMQvX76wsY3ZVVpRd7lpL3JycmbPnh0bGzvg/PiXuamrq+u9e/eysrJgnj4AYCSANaTA6MbNzX346DH/uKyPhTWMjmVofS7Cu1x9fSkmoy+V8yuJAZtmDCwx/Scpz+Xq68Tsil7qnH72uYLQ4n2831su9e748eMVFRW9zK8fM9LT0+3t7c+cOfPLmrm5uWFhYQNLTP39/e3t7ePi4nqp8/79+wsXLhw7dgwSUwDACAHjTcGot3r16nv/3F15OeHZHxYDWDZ/VJipLl6Cb+j7CFLTCeIDPheVSqVQqZNkBbhYu1+RKizth0/kF1/fCwNY2b53EhISJ0+e3Lx5s7a29uLFPQ4nGO0sLS0LCwspFEpfLufs2bMHfCLa6qdTpkxpX76gk5KSkgULFsycOZO27ysAAIwE8EwfjAW1tbUG+lPZWmqDt5tysMBfXEMovaB64d8x69ZvOHv23BCdYtu2bdeuXYuNjaXXSFbQrYaGhpkzZxKJxKSkJLpsoAAAAHQBuSkYI3Jzcw30p0pyY29uMB6rvacM9+JLyQb/JJMZpqFhT/qy6dHAkMnk+fPnv379+t69e1ZWVkN0lnGO1mNaUFCQlJQES+4DAEYUGG8KxghFRcWklDdNLHxWfz0f82NPhx+Viq68zHS6+MpuybLgkMdDl5gihLBYbHBwsK2trY2NzdmzZ+HvZ7p7//69vr4+rccUElMAwEgDuSkYO2jpqcakqVYnovY/SK0ltTA6ojHicxF+kc/LA4/eHzl61P/GDRaWAS7X1XcsLCz+/v5HjhzZsWPHzJkz09PTh/qM4wQej3d1ddXX11dXV4fEFAAwMkFuCsYUPj6+iKgov0uXH3+qMjr01CfyS0V9E6ODGsXSC2pcb6dYekdiBGTevHm7Z8+e4Tz7nj173rx509bWNmXKlNWrV7979244zz7GlJWVeXl5qaqq3rt3z8/PLyIiAsaYAgBGJhhvCsamuro6Ly+vK5f8auvqJyuI6MryK4hw83GwMDENwTZNY0tTK7mG2JxRUpuQU/2jsk5jgvqeve4rVqwYil2R+oJKpd65c8fb2/vLly9ycnKmpqZaWlpCQkJjew1UuiCTyTU1NTk5OUlJSW/evOHj43Nxcdm7dy8sFwUAGMkgNwVjWWNjY0RERGRkZOLr15nZWWQymUymMDqokY6NlYWfj1dDQ3OaoZGNjc3UqVMZHdG/3rx5ExYWlpyc/OXLFzwe39QEPeK/wMTEhMPh1NTUpk2bNmfOHCsrK0joAQAjH+SmYOxLS0ubN2+egIDAs2fPpKSkGB3OfwIDA5cuXQq/g2MDBoO5f/++vb09owP5T1FRkZWVVU1NzZMnT3R0dBgdDgAA9AmMNwVjXFRU1MyZM9XV1V+/fj2iElMAhpqUlFRSUpK2traJicmTJ08YHQ4AAPQJ5KZgLLt27dq8efNsbW2fPXsGY+zAOMTFxRUaGuro6Lhw4UJfX19GhwMAAL8GuSkYm6hUqqenp4uLi7u7+/Xr15mZu99+E4AxD4fD+fn5nTp1auvWra6urhQKDLkGAIxosLsjGIOam5vXrFnz8OHDmzdvOjk5MTocABjP1dVVXFx85cqVxcXFt2/fZmeHvdMAACMU9JuCsaampsbS0vLp06cRERGQmALQzt7e/vnz53FxcWZmZpWVlYwOBwAAuge5KRhT8vLyDA0Nc3NzY2NjTU1NGR0OACOLkZFRXFxcWVmZgYFBZmYmo8MBAIBuQG4Kxo6UlBQDAwM2Nrbk5GRtbW1GhwPASDRhwoSkpCR+fn5DQ8P4+HhGhwMAAJ1BbgrGiODgYDMzMx0dnfj4eFgrCoBeiImJxcbGGhsbz5o16969e4wOBwAAfgK5KRgLfHx8Fi9e7ODg8OTJE25ubkaHA8BIx8nJGRQU5OLi4uDg4OnpyehwAADgPzBPH4xuZDJ5+/btvr6+Bw4cgI9YAPoOi8WeO3dOSUlp586dxcXFFy9exOHgEwEAwHhwJwKjWENDw/Lly6Oiou7evbts2TJGhwPA6OPq6iojI+Po6FhYWPjgwQN47AAAYDh4pg9Gq7KyspkzZyYmJkZHR0NiCsCALVq0KCYmJi0tzdjYuKioiNHhAADGO8hNwaj09etXAwMDPB6fmJhoYmLC6HAAGN309fWTkpJaWlqmTZv24cMHRocDABjXIDcFo8/Lly+NjIzExMSSkpJUVFQYHQ4AY4GCgkJCQoKioqKJiUlERASjwwEAjF+Qm4JRJjAw0Nra2tzcPCYmRlhYmNHhADB2CAgIREVF2djYLFiw4NatW4wOBwAwTkFuCkYTHx+fZcuWrV+/PjAwEDYEB4DuWFlZAwIC9u7du2rVKk9PTyqVyuiIAADjDszTB6NDW1vbli1brl69eu7cuc2bNzM6HADGLAwG4+npKS0tvWnTpvz8/CtXrjAzMzM6KADAOAK5KRgFCATC0qVLX716FRISMm/ePEaHA8DYt3btWhkZmcWLFxcVFT18+JCPj4/REQEAxgt4pg9GupKSkunTp6enp8fFxUFiCsCwmTVr1uvXr7OysoyNjQsKChgdDgBgvIDcFIxoHz9+nDZtWmtra1JSkq6uLqPDAWB80dLSSk5OZmZmNjAwSE1NZXQ4AIBxAXJTMHJFRUWZmJioqKgkJCTIysoyOhwAxiMJCYn4+PhJkybNmDHjyZMnjA4HADD2QW4KRqhr167NmzfP1tb22bNnvLy8jA4HgPGLi4srNDTU0dFx4cKFvr6+jA4HADDGQW4KRhwqlerp6eni4uLu7n79+nWYIwwAw+FwOD8/v1OnTm3dutXV1ZVCoTA6IgDAmAXz9MHI0tzcvGbNmocPH968edPJyYnR4QAA/uPq6iouLr5y5cri4uLbt2/DGsMAgKEA/aZgBKmpqbG0tHz69GlERAQkpgCMQPb29s+fP4+LizMzM6usrGR0OACAMQhyUzBS5OXlGRoa5ubmxsbGmpqaMjocAED3jIyM4uLiysrKDAwMMjMzGR0OAGCsgdwUjAgpKSkGBgZsbGzJycna2tqMDgcA0JsJEyYkJSXx8/MbGhrGx8czOhwAwJgCuSlgvODgYDMzMx0dnfj4eCkpKUaHAwD4NTExsdjYWGNj41mzZt27d4/R4QAAxg7ITQGD+fj4LF682MHB4cmTJ9zc3IwOBwDQV5ycnEFBQS4uLg4ODp6enowOBwAwRsA8fcAwZDJ5+/btvr6+Bw4cgA82AEYjLBZ77tw5JSWlnTt3FhcXX7x4EYeDjxUAwKDATQQwRkNDw/Lly6Oiou7evbts2TJGhwMAGDhXV1cZGRlHR8fCwsIHDx7AAxAAwGDAM33AAGVlZTNnzkxMTIyOjobEFIAxYNGiRTExMWlpacbGxkVFRYwOBwAwikFuCoYQgUDoWvj161cDAwM8Hp+YmGhiYjL8UQEAhoK+vn5SUlJLS8u0adM+fPjQtUK3NwQAAOgEclMwVCIiIiwtLRsbGzsWvnz50sjISExMLCkpSUVFhVGxAQCGgoKCQkJCgqKioomJSURERMeXGhsbLS0tOxUCAEBXkJuCIdHW1rZt27bk5GQHB4f2rbcDAwOtra3Nzc1jYmKEhYUZGyEAYCgICAhERUXZ2NgsWLDg1q1btEIKheLg4JCcnLxt27a2tjbGRggAGOEgNwVDws/PLzc3FyEUGhr6xx9/IIR8fHyWLVu2fv36wMBA2IYbgDGMlZU1ICBg7969q1at8vT0pFKpu3btCg0NRQjl5ub6+fkxOkAAwIgG8/QB/eHxeA8PD1p3KYVCOXPmTEFBQWho6IULFzZu3Mjo6AAAQw6DwXh6eoqJiW3duvXbt2+BgYG0cgqF4u7uvnz5ckFBQcZGCAAYsaDfFNDfwYMHGxoaOpYEBwcfOHAAElMAxpWNGzcePHjw4cOHHQubmpoOHz7MqJAAACMf5KaAzjIzM8+fP9/a2tqp/MiRI8nJyQwJCQDAEKmpqV3T0NbW1vPnz3/58oUhIQEARj4MlUpldAxgTLGysnrx4kXX3BSLxfLw8Lx580ZJSYkhgY0EZWVl27Zta/+xsrLy27dv06dPby+Rl5c/fvw4I0ID/ebm5vb9+/f2H1+9eqWurt5xkt/Zs2fFxMQYEdqIkJ+fP2XKlNraWjKZ3OklZmZmCwuLp0+fMiQwAMAIB+NNAT1FRUX1tEYMmUyura21trZ+8+YNHx/fMAc2QoiJib17965jQoMQevDgQfv3+/btG/agwAAxMzN3vHYIofLy8vbv5eTkxnNiWltba2lpWVNT0233R2tr67Nnz6KioiwtLYc/NgDACAfP9AHd0NaNwmKxXV/CYDBMTEysrKwmJibV1dXDH9vI4ezszMzM3NOry5cvH85gwGCsWLGip5dYWFhWrVo1jLGMONXV1dOnT2djY8NisUxM3XzQYLFYWE8KANAtyE0B3Vy6dCk7O7vT8ztaHqakpHTs2LGSkpJr164pKioyKMARwdHRseuABxp1dXUNDY1hjgcMmLq6urq6OgaD6fpSS0vLOP8zQ1FR8erVq+Xl5RcuXNDU1ET/vxW0I5PJ2dnZly9fZlCAAICRC8abAvqora2Vl5evra2l/UjrKGVhYXF0dHR2djY2NmZseCOKtrb2p0+fOv3qMTMzHz582M3NjVFRgQHw9vb28PDo1PmHwWC0tLS63bRz3Pry5cutW7cuXLhAIpEQQu37cfDw8Hz//l1AQICh0QEARhboNwX0cfjw4fr6eoQQDodDCGlpaV28eLGiouLy5cuQmHbi7OzcdeRDW1vb0qVLGRIPGDAHB4euE31wONzKlSsZEs+IpaGhcfz48dLSUj8/Py0tLfT/blQikXj06FFGRwcAGFmg37RHzc3NX758qaioIBAIjI5lpCstLd25cyeZTGZnZ3d2dt6wYYOOjg6jgxq5SkpKpKWl27uOEEIYDGbq1KmwxtZopK+v/+7du05X88ePH1JSUgyMaoRLS0u7dOnS7du3SSQSFos9ffq0uLg4o4Ma6bi5uUVFRSdMmMDKysroWAAYWjBPvzM8Hn/r1q3g4OCEhAQYp99fra2tGRkZr169kpOT4+fnZ3Q4I5SEhISBgUFSUlJ7QsPExOTs7MzYqMDAODs7p6amtv/IxMRkYGAAiWkv8Hj8q1evvn7LaG5pQQiRyWRXV1dGBzVqYHE4Q0MjO9tFzs7OcI8FYxX0m/6HRCKdOHHi5MmTWCx24cKFc+bMmTx5sqSkJDc3N6NDG9EaGhpfpRlnAAAgAElEQVRycnIUFBSKi4vfv38fEREREhJCJpN37dq1e/duDg4ORgc4El26dGnz5s3tj4OxWGxJSYmIiAhjowIDUFlZKS4u3vFSXrhwYf369YyNamSi3WOPnziJmJhUjOYq6JmLKWtzC4njS/MFJBWY2eBe0ZsWEpFQVVqW/SHv7YushHBEobjthnssGJsgN/1XcHDw9u3ba2tr9+/fv3HjRshHB4NAIPj5+R05coSPj+/vv/9etGgRoyMacfB4vIiICK1jHovFmpubR0ZGMjooMECWlpYxMTG09BSLxZaXl8Nm8V0FBwdvc91eXYM3dPxjss1qFg4uRkc0irWQiO/D/BMD/hIQ4D/nA/dYMNbAXChEpVLd3d3t7OzMzc2zsrJ27doFiekgcXNz79q1Kysry9zc3M7Ozt3dHf4E6oSfn3/WrFm0eWNUKtXR0ZHREYGBc3R0pP0Px2Kxs2fPhsS0k/Z7rJCmyYZb76Yt3QqJ6SCxcHBNW7p1w613wpomcI8FY8947zdtbGx0cnIKCwu7fPkyTK0dCjdv3ly/fr2Njc3t27fZ2dkZHc4IcvfuXVpOw8LCUllZycPDw+iIwAARCAQhIaGWlhYmJqaAgIBxvrJpJ42NjY6OTqFhYVY7z0ycDf8y9Pcx8p9np3fY2NjcCYB7LBgjxnVuSqFQ7O3tX758GRISYmJiMvgGa2pqgoODEUIrVqxgY2Pr+FJOTk5cXJywsPD8+fMHf6LRJT4+fuHChaampoGBgd3uEDM+EYlEYWHhpqYmOzu7hw8fMjocMCiLFy9+9OgRGxtbZWUlFxd0Cv6LQqEsWWIf+SLG7lCAtJbB4BtsJOAz48MRQpoWS3AsP01XxxfnFXxI5OATVDG0GvyJ+qWFRCS3tbDzMGyV1sJPSY8OOM42N3vwAO6xYCwY1/P09+/fHxoaGhkZSZfEFCEkICAQEhLy5MmTjIyMkydPtpe3tbXZ29unpaWFhITQ5UR9p6ysPHPmzCtXrvRUgUKh6OjodFqRQE5OLjw8nF4xmJiYPH782MLCwsPDA9YybMfFxbVgwYL79+/DA/0xYMWKFY8ePVq4cCEkph3t37//cWjo8hMP6ZKYIoTYufmzEsKzkyKrf2SZbzzUXk4htwUdWlOW/XHJ4QC6nKjvGutrrqw1ZuXi2eDf/RpwVCrlqssMCvmneyyfmMxSr/v0ikFay8Du0J1/di2CeywYG8bvH1hBQUHe3t5XrlwxNTWlY7NXrlwREhI6ffp0UlJSe6GXl1daWtrq1asXLFhAx3P90o0bN3JycnqvU1RU9PHjRywWK9wB3bdpMTY2vnTpkpeXV1BQEH1b7l1jY2NQUNCGDRumTJ4kyM+LxTJhRpL79+8jhBYtWsToQH7CzsYqLipsYW7m4eGRkpIynNerdykpKR4eHuZmpuKiwuxsrIz+d/qJra0tQujevXuMDuQnWCyTID/vlMmTNmzYEBQU1NjYOJzXi3aPtf79b9lJ9Pnjn8b6dx8OXsGUBxeKv75tL0y8e6Ys+6P2nBUqRtZ0PFdfPDm5jVBd1ksFQmVJRd4XJiyWg0+o/YuNh87LP0lrTZuz4/Tw32MBGArj9Jk+iURSV1c3Nze/fv063Rt/9OjR4sWLVVVV09PT2djYPn/+rKurKy4u/vHjx+EZU1hUVHTw4MG3b9/Sdk1ct25dL/2mMTEx5ubm6enp2traQx3YmjVrXrx48e3bt2FY9KSurs7Ly+uy38V6AlFHmneyJJu8ADsfO46pm83PGYZMoT7+XG07UYjRgfykqY2CJ7VlVJASf5B+VBEnqKnu3bd/xYoVmO42jh8GVCr1zp07XkePfM3IlBHiMpThUBPh4OfAseFG1p/WDz9ULtQSGlH/wyhUVNvY9r2m8X1xU1phHQ831/qNm/bu3cvLyzvUpyaRSCpq6sKaJnN3naN74xmvwh55rhSUVlp3JR7Hwlr5/du1DaZcgqIu116zcgzrTNbU0OvRvvtY2Dg4BYR76jfNT3t15/eF6668ElXUHOp4wk9urfwcn5UxHPdYAIbOOH2mf/z4cTweP0TPPuzs7BwdHQMCAvbv3+/t7b1q1arW1tYbN27QNzEtLy9/+PDh1KlT9fT0Or1EIBCysrJ4eXn19PTevn3b7eHtsrOzMRiMiooKHWPribe3t4qKyokTJzw9PYfuLBQKxd/f333PbnIzaYO+yDIdFWEu5qE73SDNVhNgYx5ZOVZHH0sa/N+UrVq58qLv+bPnfXV1dYc5gNTU1G1bNqe8eWunLXRqw8SJEpzDHEDfWajwj+RLWUlsvZdWceWCj/+1K8e8T6xevXpIByYeP368uqZm8Zr9Q9G42nQbzVn2n6MDY68fMXP5M+z4ZjK51cbNl76JaQO+8lvcYwl1XQnV7ne5q8zPeH5xv9n6P9PDb1GplG7rIIRqivIQBiMopUTH2Hoy0+XAJWe9ob7HAjDURu6ddOjg8fi//vrLw8Nj6HbJO3funJSU1JkzZ5ycnFJTU7dv3z5z5ky6tFxVVXXp0iVzc3NJScktW7YUFhZ2raOurh4XFxcXF3f37t1fNpiTkyMjI0MkEp88eXLt2rXExMSu+4PTi4iIyL59+06ePInH44foFLW1tXMsZ23csN5GiTV+s9ZWE8mRnJgihEZyNoMQmijBeWah4rMNmpTyrKlT9by9vYfz7N7e3lOn6lHKs55t0DyzUHEkJ6ZoxF9KYS7mrSaS8Zu1bJRYN25YP8dyVm1t7RCdC4/Hnzj5l5HjLi5B0SE6xeytx3mEJd48uPjYa2NpVrq+3UbZScZ0aZlUV/0+7Mad3xf6LJkQeXZ3fUVRt9XaWppDjqyT0TKYaruh9wbxxXm8IlItjcTspMj0pwFFX95QKUN1j+XkEzZc8fuJE0N4jwVgGIzHZ/o+Pj4eHh7FxcVDuo7p8+fPLS0tqVTqhAkTUlNTO03b7y88Hh8UFBQYGBgTE9PW1qatrb1gwYIFCxZMnjy5l6NycnKUlZV7f6a/aNGiuLi45uZmEolEK9HV1b19+7a6uvpgAu4JgUCQlJQ8cuTItm3b6N54bm7uPGur+sri60uVtMRHdB4z6lCp6HpK6cHIH05OjpcuX2FhYRnS07W0tGxYv/727dt/zpZZoy/OoNEEY9an0oY193N4hCSePItQVFSke/s+Pj579u3fev/rkK5j+j017u5uW0SlCsmqrr0U22nafn81EWoz4p98iw3OT4unkNtEFTVVjKxVjKzElLsf7BR51u1LzKP11xK4BEUvrzGkUik9PdN/eMCp4EMCuaW5tfnf8b7iKpPm7/UTkh2Sp1UtJOK5pROOHzs6FPdYAIbHeHymHxwcvHDhwqFeYF9RUZGdnZ1EIikrKw8mMS0vL1+zZk10dDSVSp0+ffqpU6cWLFggKytLrzhzcnIIBMLRo0cXLVpUWVl58+bNa9euLViwIC0tjZOT/ukdNzf3woULg4KC6H7fzM3NNdCfKsFBfrJWXZR7aDOncQiDQWunicsLsv8WeK+ivDz0STgWix2ic5HJ5EUL5sfHvbzhoGqmzDdEZxnPtMQ5n6xVX30/x0B/alLKG7qnp4+CglWM5g71Avv8EnLMLGytzY0CUoqDSUwb8JVPTmzJS41FVKrMREOLTYdVjKx5RaV7OSQ7KfJdyJXFh271pWO4pjivhUScuXa/qvFcUl31x8h/0p8GPPBYse5y3FBs08rCwaViNPfhI/rfYwEYNiP6IdRQaGpqSkxMnDNnzpCehUKhODs7k0ikCRMmPH78+Pbt291WCwkJWb58uZ6enqura0lJSbd1Kioqnj59SqVSt2zZcubMmW3bttExMUUI3bhxIy0tbffu3crKyoaGhpcuXdq5c2d2dvbQTfacPXt2YmJic3MzHdusra2dZz1HgoP80FkNEtOhY6bMd89J9eXLFzt2bB+6s+zYsf3ly5h7TpCYDiFRbpaHzmoS7OS5VnPo+3C/qakpKSlRQc+cjm12RaVSQr03tTY3CsmqZiU8/RTd23pMz87sfBdytadXG/CVOSnRiEqdstBl1uajerYbek9MidXlT05smTTXSdV4Xl9CtXHzXXc5zmDZNgEpRSmNqdY7z+gv+a2mKDcjPqwvhw+A/BSzpCQ632MBGE7jLjf99u1ba2urjk73Y9vp5fjx469fv3ZxcYmIiODm5t66dWvXgaFPnz5dtGgRLy+vo6NjQkKChYVFdXV116bU1dXDw8NXrFjh7++vra2toKCwc+fOV69e0WtUqK6urqbmT7NHra2tEUKfP3+mS/tdTZ48ubW1NSMjg14NUiiUJXa29ZUl/kuVOFiG9r90ZEZN2OduLtPgK/cdpZ/DcPpbv3eTJLl8Fir4nvf18/OjZ7v/5+fn53ve12eh/CTJoe11g0vJwcLkv0yJUFmy2M6WQulxKk9/ffv2ra21VVRpIr0a7FbSPz6Fn5J15jovP/6QhYMr8qxbfUVxtzVz3zxPf3aHVFvVU1NCsipLve5rWiz5EHHnyjoT3xU6zy/s+/ExsadRoamh10l11c3E+rATW2hfhKpSQlVZ2IktiXfPdK0vrjJJWP6nIVJK+rMQQpXfv/XjDfeHmLJ2G13vsQAMs3GXm5aWliKEpKV7+7N4kNLS0v78809ZWdlTp05JS0ufPHmyrq5uzZo1HYf2trS0rFu3btOmTX5+fq6urs+ePfvx48elS5e6tobD4aytrW/cuFFRUfH48WNDQ8OrV6/OmDFDTExs9erVeXl5gwm1sLDw0aNHP3786FhIa1NERGQwLfdCSkoK/f9C0IW/v39sXNz1pUrD0GPqE1d87HnBUFT+pbzqpgPP8vXPvNfwfut8J+N1Xh196/fd3AmCW6dL7vp9Z0+d/QNWUlKy6/edW6dLzp0w5FvSw6VECIlys1xfphQXF+fv70+vNmm/2jwikvRqsKuy7I9xN7x5RaUtNh3hEZE033CouaH+yckt6OfpE+/Dbvxtp3pvjz2lrbWX1piwOCX9WTZuvjuCs5YcuSOlMTXt6e3b2+f9bacWdmJLbWl+p/ocfIKiSlo1xXnlOZ9oX22tzW0tzeU5n2qKO9+Q6yuKM16FdZpQVVtagBDi5BMe6D/AL/AISyC63mMBGGbjLjdtaGhACA3FSEqapqamFStWtLW1Xb9+nTakdf369aamps+fP/f19W2vlp2dXVpa6uTkRPtRWFhYTU0tNDS0l5ZZWFjmz58fEBBQUVHx6NEjc3PzBw8epKWlDSbampqaxYsXd1pLi7YgPL32yuqKtnEOgUCgS2v19fX73fesnio2PJOfVuuL/WbU1w/dflXuXVMrZdXdjHvvK2Yq8a3UE/1e3bjybkZyQT296vfX9umSIpxYt9276NUgze5dfwhyYF2nD2Fa0w4uJY2WOOeqqWJ79+ym15N92j2WZQhGUtK0tTQ/PraeQm6bt/scbUjr5HkrZSeZfE+Ne/f4pwf3spOM5/5x1v7oP30cjYrFsagYWi1wv7QjKNvu4E25ydO/xYaUZX/qVE1v0fp1l+M6fgnJqPJLyK67HDevy2KujQT8I8+VrwNOdSz8+jIIISQ9kT57ZXXFws6J6HePBWD4jbu5ULTOy6FbRdzNze3bt2+bN282MzOjlWAwmKtXr2ppabm5uVlaWtJWEs3MzEQIdZwLr6qq+vLly64NVlZWdrtBgI6OjoqKioSERH8jvHz58m+//XbgwIEDBw5MnDjRwMDgypUrgoKCtra2FAolICAgKirKzs5u6tSp/W25j2j/+PRaIOLYsWOtjcQdM7To0tovLZnUj66OflXunfeLH7lVjbcd1WlDMNdOE5918cOO4Jyk7d0v1NDf+v3FgmNyN5d0ufvPNtftXVfYHZi3b9/e/efelaUqrMOyqD5cynY7Z0gGf/7k7e1NlzXC/v3VHrJ7bMxlz6qCrCkL18npTP+3CIOZt8vn8hqjmEueClPMBKT+ndolKK0kKK2EEGLC9vZJR6qt+vDsTtdyMaWJAlJK3EJi/Y0w7cnNZ3//YeK8y8R5t6iChuQEvbTwW+w8Amom86hU6ufowLx3L9Wm20io0e0KdkbXeywAw2/c5aZDKjo6+ty5c4qKisePH+9YrqCgcPTo0R07djg7OyckJGCx2OzsbCYmpo67s8jLy4eEhHRts6ysbM+ePT2dcQCbOVGpVDKZ3J6jh4SErFu3zsvLy8vLi1Zh06ZNp06d6rWNkaKxsfGy38UN+iK87PT8n/ytnHTqZeHn0gZ1UQ7rCYJiPCy335Yft1Hg58B5PP1ObCGfWaiEENoVmsuCZdo2XfJQZMHbHwQcE2aaHM8Ra/n2Ma8dKw9SYHqluihH+9wgYS7mGUp8D9Mr04qIOlLdjMvsb/0BsFIX0JTkOX/u3M1bt+jS4LmzZzUleazU6blfbh8vJfrV1Rzbl5KXHeeiL3L5kt+ff/7Jzs5OlzaHyPfU2LfBl/kl5M3We3Ys5xOXm7luf7TvvlCvjSvPRWCY+rGIBLGmIubKwZ5eHcBmTlQqlUoho//n6EuOBISfdE28e6Z9NKru/DUWm470t1kAxg/ITelp1qxZPU0p2L59+/bt/01tZmZmplAoBAKhfbOopqYmJaVuPvm0tLQG/OevkpJS12M3bNiwYcN/i0WLiIiEhoYWFBRkZmby8fGpq6sP9epadPTs2bN6AnGZDj2XCUwuqHe8/Y2dmclUmZ8Jg/aFfxfnYcmpavScI8ePUGohEd/479i1L6WkGlJrREaNDB/rAi3BtCLi/bQKQlPblWWqtAodKw9GDamtrrFtqc5PXXeKguwIoQ8l3SQo/a0/YA6TBI88fHj5yhVW1kEtLYkQampqCnr0aL85PbfD6PulRL+6mmP+Ui7TETkZUxQREbFo0SJ6tTkU5HVn7nvR/aS0qXabptptGkCbIgoT9sXUDCaqtZd+euQ12WbVZJtV7T9y8gnbH71bV15YXZjDxsUrJKMy1KtrATDaQW7KGGJiYgihvLy8SZMm0UoqKysnThzama29kJWVpe/SVMMjMjJSR5qXjjs/UajI42k+C47p2YaJUnysCKGNhqQ5lz72VL+wtnmzseReCxkMBlGoyPrSx/jvv56nUkNqu/mmrKdXrScIqIr8NFYvt6oRISTK9dNML0UhNoRQVUM3CVN/6w/YLFX+vU/y4uPjLSwsBtlUfHx8Q2PjLFV+ugSG+n8p0YCu5pi5lMJczDrSvCM/Nx29eEWle1+aCgDQDnJTxjAxMcFgMO/fv6flphQK5cWLF66uroyOa5R5m5KkJzmoDbc6+Vza8LWsYYuJJC2bQQipiXIs0BR6+KGy2/pszEy/m0rRRtYxYZCeDPen0obS+hZxnt5WDKhuaP3rZTebzdIoCLJ1Smjya5oQQnw/j1uQ5GVFCNU3dbPMTX/rD5g4D4sEP+f79+8Hn5umpqZKCnD2/u/WL/29lGhAV3PMXEqEkI4E2/t3b+jbJgAADADkpowhLS09d+5cDw+PyZMnKysrHz58mEAgQI9FfxUUFNgbC9GzwZom9P9npu1URHocgSfEydxx4g5t2GtDyy+SBiUh9tz9+j29yoztPImEBYtBCNU2tnUsbGylIIR42boZV9ff+oOhIMj2/fv3wbeTn58vLzDYgQEd9fdSogFdzbF1KdkfJdDhUgIAwCBBbsowAQEBVlZWOjo6TExM/Pz8d+7c6Xa8KehFPaGBh+3Xewb2XV1TG0KIn+On3wtyz6uSs3U3o/yXw4MxGMTG3I+p6CLcLAihAnxTx0J8YxtCSJCzm/EM/a0/GNwsiC5rD9XV1XGz0HNmd38vJRrQ1RxLl5KHDVtfT6RvmwAAMACQmw6Hx48fNzc329vbdyzk5eVNTEwsKCioqqqiZag91aQLCoVCO8VY0kYmY+m6VA3t+e/bH4SOAx8/lzbQ8RQIoQpi699xRT29ukxHZKLET2u1KgiyYTDoB/6nHQi/ljUghLqdDdPf+oOBxSC6bFFGJpO7dDIOClzK/sJiMG102m1uKGQlPCW3tqjPXDiAmrvCexx30S9UKgWD6dNdlEJuw2Aw/VouAADQDnLT4XDkyJHq6upuM85Ok5B6qTkwWVlZvr6+jx8/rqurMzIy2rFjh7l59/tcUygUHR2dtrafnh7KycmFh4fTK5iRT02EA8eEeZVb6z5LhlZSgG+Kp982PDT1TW13U8t7etVAlqdTQiPKzTJNlie5oL6gpklWgA0h1EamBn+sEuNhmSjeTYLS3/pjElzKMeZ1wKnG+pq+5KZ9r9lHNUW570KuZiU8bW6ol9LU11+8SW7yjJ4qf37+4F3I1fKcjxQymV9CbsoiF90Fa2kZbf77uMhz3S8IKK4yaf7ei1Qq5arLDAr5p5swn5jMUq/79HovAIwKkJsOhy1btjQ2NtK3Zl80NjbOnz+/uLjYwcFBUFDw0aNHNjY2ERER06dP71q5qKjo48ePWlpaAgL/LTDZ8fvxQIyHZe008UuJJduDc+ZrCn2vbrzR8yzsAVMSYs8/MK1fh2ydLukckLEhMGvbDCk+Nqzv65If+KabK9RpvcYB78rdw7/vmCG1Y6ZUX+qPB6P0UqIuVxMuJc2UhevaWpp+Xa8/NfuirbkpcN9yQlWphvlidh6BjFeh9/ctX378ocxEw66VP0XdCz2+WVBaSc9uY1tzU8ar0Mizbk3EOmPHPxBCCIPB4jqPxGhraaouzKHtF0CoLKnI+yKiMIGN+7/OfjYeui1eAcBoAbnpcFi5ciXda/bFvn37MjMznz59amVlhRBydXXV1tZetWpVXl7nTZ8RQjk5OQih27dvD2A9/7HEfZYMLxv2SnLpg/RKfg6c7URhHjbsmdgiblZGPp6boch31lbpj9Bcl3uZCCEeNtyfc+Ta12NHCJEpPw2M/GX98WCUXkr089WES0kzcfZyutfsi9hrh6sLc5Z5BypOtUAITbXbeGWdcdjxzZvvdLNfdHKgr4CkwuoLz1k5uBFCBstdfZdPSg25SstN5XSmr7vyqtMhkWfdmkkEqx2nEUI1xXkIofl7/Qaw4D8AYwnkpvTx8eNHT0/PtLS0iRMn2traSkpKXrp0yc/PT1BQECG0bds2AoHg7++PEHJxcWFlZXV3d//jjz8SEhJwONyMGTPOnTvHycnZqebg3bhxY+LEibTEFCEkKio6e/bsW7dupaSk6Ot3nlycnZ2NwWBoW6qOZzgmjOsMKdcZUnWNbbSZ2vuffpfmY+VmwyKEnm74b3PUjt/T/GEq/YepdC8VBmOBltBcDcGPJUQKFelIcmGZ/us3c5wi6jil85ywXuqPE32/lF1/RD9fzWG7lKi7qzlOLmVF3pdXN46X5XwUVdBQNZnHLSSR9sTfasdpdh4BhFDUuT3NjUSb3ecRQuGnXHHMrIYrdr646FH4OYUJi5PVNpq97TgzG0enmoP3IfIfEQUNWmKKEOLkF1bQM/8Uda/4W6qkum7Hms0N9ZXfv+nZrqclpgghbkExuckm+e/jKW2tTF16TBFCuW9epD6+5vBXEJeACEKopigPYTCCUjApFox3kJvSwatXr6ysrDg4OObMmYPFYrds2SIlJZWRkXH69GlabpqUlFRd/e9eJunp6VVVVSEhIfLy8suWLUtJSfH396+rq3v06FGnmoNUVVWFx+NXr17dsZCWer57965rbpqTkyMjI0MkEl+8eFFeXq6urq6vr4/Fjq+x/E2tlCU3vupKc3nOkaNlM6QWSmxOrYYY5y+PHQY4JsxkqX7s2tXf+mMJXMrR5cfHxHtuS5jZOBSmmjMxYSPP7uYWlqj+kW2x6Sg7D0IIFX1921j/7+5N5TmfSXXVma/D+cRlNcxsi7+lfoi409xQb3fwZqeag0Sqq24i1GrPcehYKCiliBAqzUzrlJsyYXHOPuF84nLtJc0N9RW5XxT0TLtNTBvra56c3DLBdJGczr+DrPDFebwiUi2NxO/v4xrwlUKyKpLqujChCoxDkJsOFoVC2bZtGysr67t372izmn7//fcpU6b0ckh+fr6bm5uXlxcGg6FQKHp6ei9evPjliaqqqi5cuNDTq3Z2dhoaGh1LMjMzEULi4j9tAqmqqooQqqio6NpCTk5OfX29nJwciUSilejq6t6+fVtdXf2XsY0ZbMxMfOy46yll9U1kC1X+usa2+2kVZfUtfy1QZHRooH/gUo4iVCol6tweLAvrGr8Y2uZJ+ks2X99o1sshdWU/DJa7mq07gDAYKpVyfaP59/dxvzwRqa76f+zdZVxTbRsA8GtsYwwYG4yS7kZARBRFBcH28REDA7vrsbtFbMXuQrBbLEQQu5AQUGmQjo0YDBhsez/Md84Boxlx/3980Htn51zzksPFfe74+uB8ba+a9P1HScdEsIWelgAAslRVwUYFTUMAYBbmC70dLyWtYfH7d/7Pd04WZacnfHrO4bAdJi6r8XLPDq8qLylynrOF31KQmVzBZBybYFVZ8XvWQRcj63/WnVLU7uyPs5DOBtWmTRUeHh4ZGbl27Vr+dHtLS0t3d3dfX9/a3kIkErdu3YrBYABAQkKid+/eYWFh6enpGhoaIi6Ul5e3ZcuW2l41MjISqk1540eFJjPxgqxxQcqEhAQGg+Hl5TVq1Ki8vDwfH5/z58+PHDkyPDycN96gkzgxxvDIm/TXiUU3I3Kl8VjLLjI+k0x6asuJOy6kwVAq24vs+G85idEOE5byd/VU1jMzcxoVFVjr/HQcQarv1LWAwQAABiOhaWGfHR9ZnJcpp6Qm4kLMQtrrS7tre5WqYSBcm2YkAQCR9NdsJLKqJgCUl4ha8yHk3A5efamkY4KTrGHvuryUn99D7veetFxO+c9tn56RxGKW9J+50bjPMGYR7VvAtYgnfrc2TZp15hVvuAKCdBKoNm2qxMRE+H9/JJ9QmShEWVlZSurP3UpeXh4ASkrqWPXaxMSE36NZnaSk8LaKBNw32XsAACAASURBVAIBAOj0v55tlZaW8q8o5NKlSwQCwcLCAgAMDQ0dHBzIZPK+ffvu3r07efJk0bF1JCQp7AZX7Q2uwChnyxA66tC+TgGlsr0ozEwBAKrmX+MshcpEITIUJZzkn43EpEgUAKgsq2P9WkUtwzVPM2t7FYsXfvKOwxMAoIxRINjIuwrvirVZ/TSDnp6YFv0x5JznxYWui69H8UaU8n24fgSLk7Qfu0CwccSa4zg8QUnXFAAUNPQ1zHsQZOQ+3jj6842/pau76I+GIB1JR1uMvfUVFBQAAG9cKZ/o1ciJxBo2TuTWtZsQBoMh1q76wFBVVVUAEJqSzytVlZSUqp/f1taWV5jyDR06FACio6NFB9ZRkaRQNdNBoFS2cWWMQgAgkv96yMPhiLqL4gg1dEbWeRcFDAZHkKrtq/rIThkFZfh/6SwQbQEASJOpQgcDl8vl/tl5TEFD32rwJKfZWzhVlYmfAgUPLM5Njwm6bdxnqFCPbBcja15hymdg7woAeck/6vhcCNKxoH7TptLR0QGAd+/ejRgxgt8YHl7D8iJNlJ2d7enpWdurM2bMsLX9a2C+kZERBoMRqk0jIyMBoPpEqLS0tM+fP9vZ2WlpafEbee9VVlYGpFkFxxcwytkjLRXFHQjSDNpgNktZbBnJ9jSBhqKqBQBp0Z8Mew3mN+YkfGv2C5XQc9/67qvtVashk7oYWQu2KGgaAAZTkJUi2JibGAMAQhOhAOD9tUMvz3m677rBKyh5eCVsce5fm4eFPfLhsKush/71PKo4NyPzZ5iaiY3gU/7CrFQAkKHU0JuAIB0Yqk2bysLCAofDBQYG7t79exhTUlLSixcvmv1ChYWF586dq+3Vfv36CdWmampqffv2ff36dWJior6+PgBUVlZevXpVXV1d6EgAoNPpY8aMmTNnzunTp/mNN27cAABHR8fm/BgIwIm3mSn0crFXMxwuDDwZyeb81dWkQZHy9RD1LBUR0kayCQBRWaW7An9FZJYUlVUpyeIHmShsHKgt3sVc60lJ11QCi0sODYHZv4fUF2alJH+te25TQ1WUFEU8rnUmgLZVb6HalERV1erq8Ovb+4LMZHk1XQDgVFVGB90mKXYROhIAlHTNACA5NESwNg1/fBkAlP9erzT5SzCRJK/T7a89UMoYBXe2TrUZPnXocm9+4/eXdwFAs2uvBn5QBGnfUG3aVOrq6kuWLDlw4MC0adPc3d3j4+OPHz/eEhcyMTGpqKio+zgB69evHzZs2Lhx4zZs2CAvL79nz56kpKRHjx7xpmGdOXNmwYIFmzdv3rx5c9euXXv16nX27Fkqlerm5sbhcPz8/J4/fz569OgePXq0xMdBxC6ruOJHDtNERVqe+Oc+IC+N7gntUmRmibvPd5wEZpSlIoWIexid7xeaE51V6j/bsu2PZyApdrEbPffTzeP+exaaOY3i7RHaEheiahmufd6w7cF6T1p+Y5373W0zenssJ5Io768dLsxMcd91nTcNK/yRz9NDKx2nrHKcstqgp6uyntmXe2ekZOX07AYw8rN+vLof//6ZmrGNYa9B/BOWMwqz4iINHQbzNjLlU9EzVzezC398mSinYOI4nMvlRgfeTAp9adJ3hJpJt2b5+AjSXqCfQ81g9+7dFArl0KFDPj4+VCp10qRJFApl+/btcnJinhE8cOBAX1/fWbNmjR49GgAoFMrBgwf5S/FzuVw2m80boYXBYO7fvz9r1qxdu3bt2rWLd8D8+fMPHDggruCRlpZCLweAo24GZm1jyU+kKS5+yi6v5DyeY8lbwHWVs6a7z/e3SUVPvtOGm1cbGdn2OM/eIiVL/nz71LeAa0Q5BQuXsVKy5DeX9xJkxLyqq153p5HrTj3a/9+dLVMBQEqW7LJgB38pfi6Xy+Ww4fddVGKsp999r7mvffa89tnDO8DEccTAxbslsH9+1KZEvOFyORpmdsJXwmDG7vB7vG/J+6ve76/+7jq1/WeGy/wdLfwREaTNwdQ9eLxjuXnzpru7ewt96oKCAt4U+MWLFz969Cg5ObklrtJQVVVVoaGhHA6nPmvpp6amxsbGUigUU1NTEqmlfipgMJgbN26MGzeu6ec5NdZohEV9f/RWVHGOvsm4G5mfWVyhTib00SNvGqgt+/+Hnh9Siv1jaK8TC8srOT205Xppy020VeZNoln1MJHF5i7rp3HsTUZIQqEulTjeRmm0ldKZ91l3v+VlFrO6dpHxHKqrS/09P2PerTgzFRkHXblzH7PeJRUpyuDHWCvN763O68EaczEmhV4euuL3yIri8qpdL359SmXQmZXdNUkTbZWdDeXrGXNT+IXmrH2UlLDBXgrf+DmRc2/GEc2cb9682cRgxo0bV/Y9+PS4+q7j2OhUQgOzKTqV0JBstlwqAaDPkXCyFO7xnD/7V939lr/4Tvy83mqbBmrX5wz+0bR5t+Kafm/k3WM3BDdy9ftyRiFvCnzAkTXxHwMWXY1oYjzNgsOuyoqN4HI5dS6Gz+VyCrNSab/icQQpqqYhSbGLiINrVJSTRktLkJIlK2oZSUrLNi5gL2eFZrnHIohYoH7TpiorK3N2du7Zs6e3tzevMC0tLQ0ICLC2Fh6NJC44HK5nz571PFhbW5u/UGvHs+5R8u3IvNFWihaqqqkFFVe+5vzIYT6cZQEA75OLxl/+QSJgR3VVVJDGv04sXPsoKbWgfONAbQCIyWJmFVe8SSwiS2F765IfROd/SCm6H5X/OrHI2ZCiQSG8iCtw9/n+cVk3XsnyNqnoW2bpiXcZvXXIHt1VXiUU7Qz8lUwrr77we1Yxa9T5aBqzcoyVkpwULiShcOqVn5sH6czu1aXOmJsomV6uTiaUsthvk4vySioNlYjtaD/MRqcSGpjN+qcS6spmy6Wyis3tb0CxVv+rjsksqgAACrEd3OSrKsr9VvyjbmrnutDr92pQ5cyk0GBVg+bcKrYpJLA4dTNRO6rwYTAS8mq6vMGpjUNW0eSv84ognVM7uG21cUQiUUFB4ejRo0VFRcOHDy8oKLh48WJGRoaIeUuIWLCqOHe+5Q0wpHj/+3sZRW15wuanKUm0cj2q1P0oGlYC82GpjZwUDgAW9lHreSg8MLaAX9DkllSuGaD1X191ABhpqTjZ78f7lOKXi6z1qFIAsPRewq2IvBR6ud7/u05T6eVbB/8uSlY5g7vP9+vhuVPsVLuq/fUAfWdgalphxaPZljYasgCw0klzku8Pr8DUsdZKFCJOdMyC56Ezq3w+1zqQbqiZgrGy8NrdKbRyRgXb3jusrPL3wjdd1WSOuBkaKtWwxlmb0sRUQgOzWc9UgshsSuMl6plKaHg2cVjMjqF/FUP5pZWXPmfjsBhXoxoWM25rcAQpIkn+y70zFaXFBr0GljOKIp9dYeRlDlt5WNyhIQgiBqg2bQZXr17duXNnYGDgpUuXZGRkunXr5u/v37dv37rfibQiNhcA4ENKcXRWqUUXGQCYbt9lQjcVAg4DAHMcusywV+VVMwDAYnPJUtji8j8rLGIlMPN7/95yxlxVGgB665L5VYWDDvlWRF5cHpPfIieFm9Xzd9+nBAb+66v+PrnoVWKhYEFTWFZ1LyrfWl2WV8oAAB6LmWSr/C656Ml3+kRbZdExC6KVVu5/mVbbZ9ejStVQm9LLSyvYawZoDTFVoDErb0XkXQvLnX7t5/N5VtKSbXrl4yamEhqYzfqkEurK5qiuiiJiFtKIbAp6EVew4n4ijVm5bbCOiUr72E/o341n3105mPw1JDLgqqSUtKqh1bid17S6Oog7LgRBxADVps2ATCbv2bNnz549RUVFJBJJQqJN/1zvtIh4iRX9NfcE/Rp06puhEtFBlzzAkNLPgMJ7im2gSCxgVp1+n/k1rSStsDyZVs6oYKuQ/uy2pULC47G/ywgCTgIAVAVe5eW8surPWD09qhRGoOowViICQCq9XDCkxPwyLhdKWex5t+L4jSXlbABILSivM2ZBBorExI3Cy9by8SMX5D3KQBKHMVGWBgBdqlR3TRKJgD35LvPJD9oYqza9nmITUwkNzGZ9Ugl1ZbP+qYRGZZMnlV6+5VlKYGyBjoLUsTGGjnrk2o5sawgycs5ztgJARWmxpLSs0Bx2BEE6FVSbNicyuQV/Ejx58qS4uHj8+PEtd4mGKikpkZVt5FB9sfivr/pIC+rNiLzg+ALfL9k+n7P1qFJ3Zlgoy+JPvsvcF5wmicP00pZz1KP811f29PvMXwV/Fu2SxgtPgMCIHJmpLPvX/odESSz8vwziKyirAgBJrAReoECRl8a5dVU0+v+DdRExCwXT0ClN1R9JDzCSP/kuMza31q1x246mpBIamM36pBLqkc16phIalU0AuBOZt+5RMgYDGwdqz7RXlawWYbtAkBHb8iYJnwJZpQwzZzdxBVAjFrOEXcUiyinUfSiCdBSoNm039u7dm5iY2BZq07CwsHXr1n358qWgoEBFRWXkyJH79u0T+4JZdapkc8sq2RoUwipnzVXOmrkllUdep1/8lH3xU9asnl12BqZSZfBv/7Phz5s+8jpd9AlFS/m7Xy29sAIA9BX/GsqpJS8FALpUqaOjDfmNbA63lMUm4rGiY14zQEvwVLkllYde1RrweBtloUo0s4gVnsGwVpdVJ//ZlJzXF6goI1wqtTVtMJVQVzbrn0poeDYB4EVcwZJ7CbYapBNjDQVzitTfh+tHCjOT21RtWlZMPzuzD0FWbu7Fj+KOBUFaD6pNkYYJDQ11cXHB4XATJ05UUFC4cePGmTNnwsPDP3782MYHM7xNLvLw/XHEzWC0lRIAKMvi5/dWu/gpu7CsKr2ogsOFIaYK/Goms4gVk81sSpWWRCtPppXzV5W6EZ4L/x/ayKerIEWVwb9KKKxic3H/f1B77E3G3uC0ezMtemiRRMQsdLni8qqrX3NqC6aXtly1wZGVc27EeXRX2TNCj9/4MJoGAPbabf3XjDaYSqgrm6Usdj1TCQ3PJgDsevGLRMCddTdS/nv0AtKuPdr3H4OWTZBt69+SCNK8UG2KNMyxY8fKyso+ffrEWyRr+/btLi4uQUFBd+7cGTt2rLijE8VOk6Qog/d+la5GJlioyiTTy3ndaS5G8vpUoowk9mE0zdlQ3kCR+OUXY2/wL1kClsliJ+aXVe8hqw82lzvj2s/VA7T0qFJPf9DPf8waYUEVKvvwWMw6F62VDxIX3Y1f2EedRMAG/KQfep3RV59sp0kSHbPQ5QwUiSmb67tSGACYqsjYapKufM2RJ+KGmClwuXAnMu9VYuEwM6rQUkRtUBtMJdSVzVIWu56phIZns6isKjaXaaEqc+p9ltBLDrpyNV4Cafu+PryQ+DmISELpQzodVJvWoby8fNeuXX5+funp6VpaWs7Ozvv37xdclD4kJOTWrVuBgYFlZWV9+vTp16/f7NmzeUvcz549m8Vibdq0affu3QEBAYaGhjNmzPDw8Dh48OCVK1fS0tJsbW2PHDliaPj7CaC7u7uVlVX//v0PHz4cHBysrKw8ZcqUVatW1dgfWVhYuH79+tevX+fn5zs4OMyaNWvo0KH1D7vR3r9/b21tLbh66/Tp04OCgj5//tzGa1NZAvbYGMMldxPGXIzhtRBwEmsGaA0wkgeAg//qL7+fOO3qTwCgEHHbBusQJSWW3ktwPh6ZuqUBVQJfH12yqpzknBuxvP3qe+nI7RqmV/2wCd2Uyyo5O56n+kfTAAAngZlgq7x2gBZv+KPomJsCg4ELE4xXPkg8+ibj6JsMXuMUO5Utg3SaeOZW0DZTCSKz2XKpBIAvaQwuF6KySqOySoVewmBqLn/bjipWxfur3lGBNxl5mXIqGjo2ji7zPAXXnE+NePvj1YPkryFVFWUalj21rXrbDJvCWwD/8YEl7MpKx8kr3187lPQlWF5d33rIJAvXcZ9unYh+cas4L6OLkdXARbsVNH4vRnt3+wwVfQtt6z6f75xKDX8jTVHsOnB8z/GLa5x6VV5SFHLO89e398wimoa5vfWwyQb2rvUPu4nyUn6+OLnRec6WiMeXuVxOc50WQdoFVJvWYcGCBZcvX548ebKNjU1iYuLZs2ejoqLev3/Pe/Xly5eurq5kMnnixImKioqBgYHz589PSkrau3cvAERERKSnp7948YJCoTg5Od24cSMkJOTq1auBgYFDhw7V1tZ+/Pixi4tLcnIyr/oMCgr6+vXr3r17nZyc5syZ8/z587Vr18bHx1dfKjU9Pd3R0TEvL2/KlClkMjkgIGDEiBEHDhxYunRpfcJutMrKykGDBvXo0UOwMS0tDQAUFNrBUH1HPfK7JTY/ckozClkKMjhjZWn+o97h5tTeuuTo7FJlWbyRkjSvNHTQIReVVwHAk7l/rQFOIeIytvUSbBljpSQ0tx0ngTk0ymDbYJ3IzFJVOUkjgUVDb083Fzxyhr3qOGul6OxSJottoiyjRv7rmayImJtIUQZ/aaJJemFFIq2MLIUzUCQ21x5FraDRqYSGZ1NEKqEh2Wy5VLoYyQt9hHbk2aGV355ftxzormpgWZCZEv7YJzfp+7RjAbxXUyPeXFnpJiUjZz5gjDRZIelryFPvFQWZKQPmbgOAnIRoRl5GytcQgixZ29rx+8t7qZFvo4NuJ38NMbB3JatoJnx8fmXlqEXXInjVZ0rY6+y4yA/Xj+jYONoMn5oU+jL47DZ6RuKwlUeEoirOy7y8ZCizML/rwPEEGbmk0OCb6ye4LPDsMXp+fcJuoipWxf0ds7Qse/Vwmxvx+HKznBNB2hFUm4pSUVHh5+c3bNiwixcv8lr09fWXLFkSFxdnZGQEANeuXcPhcImJiRQKBQDWrFmjp6fn7+/Pq00BIDs7e8eOHRs2bACACRMmDB06NCQkJCYmhvf2adOm+fj4JCQk8P4KAImJiQcPHly2bBkAeHp6uri4XLhwYf78+ba2toKBrV27NiUl5ePHj/b29gCwbdu2IUOGrFmzZsqUKQoKCnWGzZefn3/ixInaPv7o0aPNzf/6uYvH448ePSrYkpube/z4cTweP3z48Ib944oJES/RTYPUTaOGl+SlcUJr7shL4+Slm/Q9Qibi+urXvXqDLAHbs/ZRniJibjoNCkGD0i6nzrTNVILIbLZoKtsjdmVF1Iubhj0Hjlh9jNcir6bz/Ng6enoir7MzJuiOBBa34EqYlCwZAHpNWHp8knX8h2e82hQASui5/Wds6O2xAgDMB4y+vnZcauTbuRc/8N7uv2fht4BrBRnJ/K7TgsxklwVe9mPmA0C/GeuvrBgV8fRKt39mdDH6aye/l2e3FWX/mnY8UN3UFgD6Tl97fc244NPbLAeOJ5Lk6wybj1lE+/rgfG0f36TvP0o6JtXbg05tZuRnT9hzp47VQBCkg0K1qShsNhsAQkJCwsPDbWxsAGDRokUzZ86Ukvo9K2L58uWLFy/mFaYAwGKxKBRKUVER/wxYLHbVqlW8P1tZWQGAs7Mzv0Ds37+/j4/P9+/f+S0UCoXf9ykhIbF+/fqXL18+f/5csDal0+lXr161s7PjFaYAICkpOXv27ODg4Lt3786aNavOsPny8vK2bNlS28c3MjISqk2FPHr0aObMmXl5eYcOHbK0bCu7CyII0l5wOBwASI14mx3/TdWwKwB0HzXbeuhknOTv35fsxy7sPmoOrzAFAHYVS0qWXFFSzD8DRgLbc/xi3p+V9S0AQMemL79A1Lbq/S3gWl7KT36LlCzZfvS83+/FSPSetDw14k1y6EvB2rSMURAddFvN2IZXmAIAFidpM2xKSvjr2NePrIdNrjNsPmYh7fWl3bV9fKqGQfXaNP5DQOj9s2O2X5alqtTjnxBBOiBUm4oiLS29ZcuWjRs3duvWzdTU1MnJaejQoYMGDeINJwUAExMTGo124MCBDx8+pKSkxMfHFxcXq6mp8c+gpqYmKfn7oR6vNBR8lXceFovFbzE0NMQI/KLMKw0TExMFo4qNjeVyuSUlJe7u7vzG4uJi/pF1hs1nYmLCZNa6mCU/8uoSExOXLVvm7+9vYGBw5coVFxeX2o7snFRkJRXa/EpMSH2gVLYoPIHYd8rqkAte5+f2V9Q20rZ2NLB31bNz5g0nBQCqlmFZMf3TzePp3z8XZafR0xMrmAwSVZV/BpKiKhb3+07FKw0FX8VgsQDAqarktyio6wl2RvJKw4LMZMGo6GkJwOWyykvvbp/Bb2QxGfwj6wybT1HLcM3TzNo+PhYv/F+rhJbzaO8i62GTjfu0jydRCNIS2vSiP23Bhg0bEhISNm3aJC0tferUqeHDh5ubm2dn/97qet++fRoaGp6enpWVlS4uLpcuXerdu7fg22VkhJd6Eb3QUpcuXaq/Xai/k0ajAQCBQMALoFKpkyZN4ndzig6bD4PBEGtXvZbl8fPzs7a2DgkJ2bt3b3R0NCpMqwtaaHXEzUDcUSDNAKWypfX2WLHA72ufyavwBOmwhxdvrB9/enqvEnou79WPN44eGWf+xncfp6pKx7bfiLXHNSz+2jELLyW8mBdG5D1WVqByBQA8URoAcJJ/3WOZRXQAwOIJWBye/0WUU7BwGcvv5hQdtkA0GBxBqrav6rXs14cXmEW0ipJi/72LeF+M/CxGfrb/3kXvr3qL+FwI0pGgflNRWCwWk8nU0dHZvn379u3bs7Ozvby8jh07dvToUS8vr7y8vLVr1yopKcXHx/OnwHt5eTXligkJCYJ/TUlJAQBjY2PBRj09PQAwNDT08/PjN7LZbAaDIS0tXWfYgqfKzs729PSsLZgZM2YIjXMFgEePHk2ZMqVXr17Xrl3T0hJeMxxBEKT+2FWsyvIyiqpWv+nr+k1fV0LPfed3IPT+2dB7Z/rP3MgszA8+s02aQl3g+5U/Bf6d38GmXJGekST416LsXwCgoPnXrx/yajoAoKCuN3L9aX4jl8OuYJbgpYh1hi14qhJ67lvffbUFYzVkktA4V2kKVcXAUjDIqsoKLoebkxCFQWNPkU4D1aaiBAcHDxkyxNfX18PDAwBUVVVXrVp17NixgoICAEhNTeVwOG5ubvzCNC0tLSIiQkWl8YOE4uLi4uPj+atK8SYzCS7YBAAGBgZKSkoBAQGVlZX4/z8S2rVr16ZNm968edOnTx/RYQsqLCysvggAX79+/arXpuvXryeTybdv3xbq4u2QguMLGOXskZaK4g4E/EJz6MwqADBQIg41bc4lEThcENrR/VViYWRGKQBI4STmOHSQLLedVILIbJay2DKSjV8tQSibbT+VKWFvrq8dO3LdKQvXcQAgq6Dca/zi0PtnyxmFAFCUk8blckwcR/AL0+LcjOyEKFl5JVEnFYmenig4Yyny6VUAUDX4a7i8vLquNEUx6Uswp6pSAvf7HvvuqverCzunHH6iadlTdNiCKkqKIh771haMtlVvodrUbtQcu1FzBFvOz3WqYpXNOvOqkR8YQdohVJuK0rt3b2Vl5e3bt2toaNjY2CQkJPD6HYcNGwYAxsbGsrKyN27cGDJkiImJybt37zZt2iQnJ1dSUhIbGyvU2VlPbDb733//3bFjh5GR0d27d48cOTJu3DhHR0fBYyQlJXft2jVr1iwPD481a9bIyck9ePBgx44drq6uvBEFosMWZGJiUlFRAfVWUFAQHR1tY2Nz4MABoZf69+/fXqbq19+Jt5kp9PK2UNCc/5iVVlihQpJ0NqQMNVXgcGHgyUg2b73N/9OgSPl61DDnt0ZJtPJLn7MDftKLy9l2WqQ5vbr0+f/E9vD0klsRefmllTgJTNssaBqh7aQSqmUTAKKySncF/orILCkqq1KSxQ8yUdg4UJtU7yW9astm20+lpoW9DEXpje8+kpKaqmFXekYSr1vUoOdAAKBqGkoSZb6/vKdv70LVNEyP/vTq4k6CDIlVVkpLS6BqNmasBYfDvrXJo//MDQoaBrFv/L/cPW3a/19Ny79W4MLiJJ1mbX68/7/7O+c6TFhCkCbFvXv61veArm1/TQv7OsMWRNUyXPtceDAVgiCiodpUFBKJdOXKlalTpzo5OfFapKSkvLy8eEUeiUS6cOHCjBkz/vnnHwBQUFDw9vaWkZGZOnWqhYVFZWWlqFPXYsCAAerq6mPGjOHNA+3fv3+NazzNnDmTyWSuXr365s2bAIDD4WbNmuXl5cV76CM67KZ49+4dl8sNCwsLCwsTegmDwXS82rRN6akt5zfZlPfnrOKKHzlMExVpeeKfb+H6r5FUXsmZdvVndjFrVFdFeSLu8Xfa1Ks/r0w25a18tLSfxtJ+GkvuJbyIFe5oR5qLYDYjM0vcfb7jJDCjLBUpRNzD6Hy/0JzorFL/2ZYS9XiKKyKbbT+VktKyIzec8d8932/5P7wWnCSh/8yNvCJPUlp2+Opjj/YuurlhIgAQSfKuC73wUjIPd88/M8NhXWC1wZ31oNutL0lR7c6WabwF7bWt+wxZur/6YdZDPSormMGnt/wIuQ8AElic9dDJ/Wdt5M2jEh02giBNhGrTOri4uMTHx3/79u3Xr1+KiooWFhbKysr8V8eOHevs7BweHt6lSxczMzNeadi/f3/e0/MvX74InkpBQYHL/auja/LkyZMnTxZsweFwly5d8vb2Dg0NVVdXNzMz478UEhIieOTixYunTZsWHh5eUlJiaWmpqalZ/7Abbfjw4UIfARGLFHo5ABx1MzBTFZ5sVx+7g34l5pf5epg6G1IAYGbPLq4nI5fdS/iwtFszB4rUw8VP2eWVnMdzLM1VZQBglbOmu8/3t0lFT77ThptT63x7e8+mrm2/+X5fcxNjinPTiWQFJV1TGcqfR/am/Ubq2Dhmx0fJUlWUtI15paG2dW/e0/MZJ4MET0UkyW8Ipgu2WLq6W7q6C7ZIYHEj1hx3XeCVFRdBUuyiqP3nAddkb3/BI+1GzbEaNDE74RurrFRZ10xOWb3+YTejmadftsRpEaQtQ7VpGaqJgQAAIABJREFU3aSlpXv27NmzZ827HVKpVKGJ6lQqlUqt+yeKCPLy8q6urnUeRiKR+vbtW9urosPuJDY+SY7JKj09zkiZ9Gc9rNUPk9IKyy9PMsVjMQDwIaXYP4b2OrGwvJLTQ1uul7bcRFtlbLUOqyV3Ezhc7tHRhvyWY28yguIKbk03x/3/4OLyql0vfn1KZdCZld01SRNtlZ0NW2S7yGRaOQYDetTG7A4PADcj8kxVpHmlDAAoyeL7GVBuR+SFp5fYaDTbpovNrs5s1jOVUI9stloqASA0jWGuKmMu8GuGu43y26Si8IyS+tSm7TSbgvAEorpZd3Wz7jW+SpRT0LXtJ9RClGvSqGspEkXXtn+dh0lKy2p1dajtVdFhIwjSaGgNKaQj01GQ+vyL8eTHn66UHAbrWlgOhYjjFabvk4vcfb4/iMrvb0CZaKuSWVSx9lHSrhe/qp/qW2bJt8y/NitPppd//sXg9yNnFbMGnvx2OzLPXpvkbqOcVlgx9crPsx+yWuJzJdPL1cmEUhb7RVzBtbDc0DSG0NhTEejMqqKyKse/tzjSpxIBIDKzpPljbT6is1n/VEJd2WzNVFaxuf0NKNPt/1rYKLOoAgAoxLr7DtpvNhEEQWqD+k3bkC5duigqtom5Gh3GKEtFz4DURzG0aT1+/+x/GE3jcMHd5vcIh/tRNKwE5sNSGzkpHAAs7KPW81B4YGzBxoHaDb3WzsDUtMKKR7MteZ1VK500J/n+8ApMHWutJFRk0JlVPp9rnR4x1EzBWFl4yUYhKbRyRgXb3jusrJLDa+mqJnPEzdBQqe6e1MT8MgBQkf1rYwV9RSkAyC9tzCDpViM6m+00lTgsZsdQXcGW/NLKS5+zcViMq1HdPbXtN5tiIUtVIZKb9FALQZBWgGrT5vfkyZPi4uLx48c39I1RUVHNG8mZM2fy8vIAwNTU1M3NrXlPLuj58+e8wbVEInH58uUtd6GGosrgnQwpwfGF+aWVijJ4AHgQna8qJ9lX//cD0DkOXWbYq/KqGQBgsblkKWxxObuhFyosq7oXlW+tLst/iorHYibZKr9LLnrynT7R9q/BvrTSyv0v02o7lR5Vqu7alF5eWsFeM0BriKkCjVl5KyLvWlju9Gs/n8+zkpas42EIb6yqUI2lTiYAQCM+eGsSnc12mkohL+IKVtxPpDErtw3WMVGp+73tN5tNkfApkFXKMHNu8D1tzvl3zRtJ+CMfZmE+AFC1jUwcRzTXaTnsKgwGI7gyf1Loy6yfYQCAIxDtxy5orgshSNuEatPmt3fv3sTExEbUps3u8OHDKSkpampqQ4YMEapNDQ0N+/fvf/bs2cadWejtnz59unz5ck5ODh6Pb83aFIfFsuuamzXWWikwtuDZD7pHd5W0worw9JLFjur8IYgGisQCZtXp95lf00rSCsuTaeWMCrYKqdbNWmuTmF/G5UIpiz3vVhy/saScDQCpBeVCBxsoEhM32kMteIMNRPMeZSCJw5goSwOALlWquyaJRMCefJf55AdtjFUdEzIksRgAKCyrEmzk9b+SpRq8siabC7XtH9YgWCy2PqMSRGSznaaSL5VevuVZSmBsgY6C1LExho565Lrf06zZZHO5uOZIZSv4cP1IYWZyI2rTZvf5zqmi7F+yil0MergI1aYnJnfXtu49bMXhBp0w+sWt0PvnchK+cdhseTWd7qNm246cicFIZP4I/fb8RmlBLhaLR7Up0uGh8aYdXN++fePj448cOSLYeOnSJaENqBqk+ts3bdoUHx8/atSoRp+zceTkZBl1dQ65GsmTibhHMTQAeBidDwDjbP50fZ18l2l74Kv3q/RKNsdRj+I9ysBOi1TPqxcy/xQEBWVVACCJlcBLYPhf8tI4t66KRtWes2MwIIWXqO2rxrk7QrqqyZj83SE3wEgeAGJzmXW+lzeRSKjM4sVPbfjG8QwWUCiUhr6rOjKZzGDVfZiIbDYllSCQzVZOJc+dyDzXk98+pBRvHKj9cqFVPQtTaNZsFpez5eTax9ypNkXLymGBb+jAxbsFG789u1rw9wZU9RH1/PqDXfPKSwrtRs+zHTmTVVYacGTNuysHAaDP5FULfEON+6B1+pBOAfWbdiLp6enbtm378uVLZGRk67+9Jejq6CTS6ljjUBIn8Y8F9drX3AJm1YMoWndNkh71997ZtNLKnYGpVBn82/9sZP+/zvmR1+k1ngeDwfAWneVLpJXx/6wlLwUAulQpwanfbA63lMUm4oX7onJLKg+9qvkqADDeRrmrmqiVoTKLWOEZDGt1Wd6jW55UejkAKNajHNGjSmEw8Kvgrz0XvmeXAkAjpnUn0sr/0dNr6Luq09XV9acJ90pWV1s2G5RKEJnN1kwlz4u4giX3Emw1SCfGGgrmtD6aMZtJtDL95khlZ1acl/nm8p6sn+E5idGNePvHm8cV1PWmn3hBkCYBQK8JS45PsP56/1wfj5XNHSmCtGmo37QGixcvdnR0zMr6a1runDlzBg4cyGKxACAkJGThwoVGRkaampoTJkw4deoUm11z792UKVN4G4fy7d6929HRsarqdydNYWHhggULLCwsVFVV3dzcnjx50jKfCQCAwWDExcWRyWQ7O7vWf3tLsLWzD8+su6AZZ61UxeEef5sRk13qLtBpml5UweHCEFMFfjWTWcSKya6561GDQkgrrKhi/37wHJvLTKb/ubSughRVBv8qoZB/AAAce5NhuutLeIbwdOni8qqrX3Nq+0ql1/GJCssq59yIO/I6Q7DxYTQNAOy15US/FwBUSJI9teU+phbzL1TF5t77lq8qJ9m1S8OqmaxiVlZBqY2NTYPeVSNbW9vMgtKs4rr7TmvMZoNSCSKz2Zqp5Nn14heJgDvrbtTQwhSaNZvhmeU2tq30rR1wZM3lJUNLaDmCjU8OLL26yo1dxQKA1Ii3zw6vOjnF7qi7xb0ds8L8L3I5Nd9jH+6a/2DnXMGW99cOXV4ylMP+fY8tLyl6dmjlmRkOh0Yb3948JeFTYMt8JgAAFrOEnpZIkJFTM27wN0VFaXFe8g8De1deYQoAJKqqTjfHsuJCThWa1oZ0LqjftAYGBgbHjh27e/fuwoULeS2ZmZnnz58fO3aspKTky5cvXV1dyWTyxIkTFRUVAwMD58+fn5SUtHfv3uqn+vr1q1D3THx8/Nu3b3mN6enpjo6OeXl5U6ZMIZPJAQEBI0aMOHDgwNKlS1vic5mamr569QoAEhISDA0N6zy+ed/eEgYNGnT+3Lm8kkolWVH9hd00SHpUqTMfsoh4iREWf2bp6lOJMpLYh9E0Z0N5A0Xil1+MvcG/ZAlYJoudmF+mr0j8+ySyQXEFS+8nTLJVSaaVH3+bIUfA0v//IBiPxaxz0Vr5IHHR3fiFfdRJBGzAT/qh1xl99cl2msJPlg0UiSmbG7/urKmKjK0m6crXHHkiboiZApcLdyLzXiUWDjOjWqv/LkfOfsjyfJ66rJ/Gsv4a1c+wuK/6FL+fc2/G/ddPgyKFPf4281dBuc8kU0wDhkcCADz/SZchEoX21G2cPn36yBCJgbEFU+xURB9ZYzYblEoQmc3WTCUAFJVVxeYyLVRlTr0XXqPKQVfOxUhedCqhmbKZW1IZ9qtw/eDBjf4gDSKvrht6/+zPN/7d/53Fa2HQsiOe+Jn2H4nFSaZGvLmy0k1KRs58wBhpskLS15Cn3isKMlMGzN1W/VRZcRG8HZ746OmJaVEfeY3FeZmXlwxlFuZ3HTieICOXFBp8c/0ElwWePUbPb4nPpahtNPnQIwAoyEg6Mblh655KYHFTDj+mdNHht1SUFucmxujZOUngGjzYBkHaNVSb1mDixIkrV668ffs2vza9efMmh8OZPn06AFy7dg2HwyUmJvKG2a1Zs0ZPT8/f37/G2lS0tWvXpqSkfPz40d7eHgC2bds2ZMiQNWvWTJkyRUFBeGXp/Pz8Gvcv5Rk9erS5uXlDA2jvhgwZIkeSvR6eu9hRXfSRY6yU9ganDbVUFNyjXJaAPfiv/vL7idOu/gQAChG3bbAOUVJi6b0E5+ORqVv+qjnmOqh9TWPc+5bP65TiTTk69uZP5+WEbspllZwdz1P9o2kAgJPATLBVXjtAq6EFX50wGLgwwXjlg8SjbzKO/j+AKXYqWwbp8I/hcLlsTq3TxPrpU464Gax8mDj7eiwAyEnhtgzW4S/eXn/XIuijx4whEBrc21edlJSU2+jRV0P866xNoaZsNiiVUFc2Wy2VAPAljcHlQlRWaVRWqdBLGAy4GMmLTiU0UzZvhOdSyHKDW6s2tRgwJujU5p+vH/Jr0x8h97hcjtXgSQAQE3RHAotbcCVMSpYMAL0mLD0+yTr+w7Maa1PRXp7dVpT9a9rxQHVTWwDoO33t9TXjgk9vsxw4nkgSXqKLWUT7+uB8bacy6fuPko5JQwOoP7yUtIbF73l1n++cLMpOT/j0nMNhO0xc1nIXRZC2CdWmNVBSUhoyZMiTJ09yc3N5W31ev35dXV2dt1fT8uXLFy9ezJ//wWKxKBRKUVFRQ69Cp9OvXr1qZ2fHK0wBQFJScvbs2cHBwXfv3p01a5bQ8Xl5eVu2bKntbEZGRp2wNiUSiXPmzT974vCU7ipkkQuVL+mnsaRfDd1Ow82pvXXJ0dmlyrJ4IyVpXvHhoEMuKq8CgNvT//yTEvESvh6mtNLKbAbLTEWGd+Q6Fy3Bs82wVx1nrRSdXcpksU2UZdTIDZ4kXk+KMvhLE03SCysSaWVkKZyBIlGW8NdQyLkOahVVXC35WqvGkZaKw8yp3zJLOFywUZet/6wdvqc/6NGZxecXL27MB6jJ4v/+s79y5ekP+hDTOrb8qTGb9U8l1CObrZZKFyP5jG29RBxQZyqhydksKqs6+yl39oIlRGIjdxprKGmKon4Pl4RPgaWFebytPr8H3yUpdtHt3h8A7Mcu7D5qDq8wBQB2FUtKllxRUtzQq5QxCqKDbqsZ2/AKUwDA4iRthk1JCX8d+/qR9bDJQsczC2mvL+2udprfqBoGLVqbCgo5t6OyogwAlHRMcJJSrXNRBGk7Ol1tytvynsvlYkT2gUydOtXf3//evXtz585NSUn59OnTunXrJCQkAMDExIRGox04cODDhw8pKSnx8fHFxcVqamoNjSQ2NpbL5ZaUlLi7/9nuubi4GAASExOrH29iYsJk1jp+TlKypX52Njsulwv/T0TTbdiw4fKlCwdfZWwb3OAl1nnkpXFC06LlpXHy0jV/a1Bl8KKnP8sSsD3rMeizWWhQCBqUmkuWFHr59bBcoYJMCE4C002jATPZBbGqODuDMjwmTWzGwcd2dnaTJk70DHjgbEgh4BozFL5BqYS6stmaqRShPqmEpmXzQEi6BEF63bp1jXu7kN/f2lwuiPwe7zpoQvyHZ7FvHncbMa0o+1fGj68OE5dhMBIAQNUyLCumf7p5PP3756LsNHp6YgWTQaKqijhbjehpCcDlsspL726fwW9kMRkAUJCZXP14RS3DNU8zazsbFt96D9ZXP82gpyemRX8MOed5caHr4utRsgrKdb+Nr1nvsQjS+jrdXChZWVkAEFHk8QwfPlxeXv727dsAcOPGDQCYNm0a76V9+/ZpaGh4enpWVla6uLhcunSpd+/e9Q+ATv+94yKNRgMAAoGAF0ClUidNmlRjDygGgyHWrlnWmGwdDAYDAOTkmuenPolE8vTadelzdvVHoh1MTHbp3Jtx9dw5M4VefmmSSeN6+26E5869GfcxRVQ31aHXGbml7N17GjyORbQ9e/fSmOzDf0/z6pDqn82WTmVUVqnPl5xdu/eSyfVduEo03j2W1+0ngmGvgVIkys/XDwDg+8t7AGA1eCLvpY83jh4ZZ/7Gdx+nqkrHtt+Itcf5D7vro5xRyPsDs4gOAFg8AYvD87+IcgoWLmNr7gHFYHAEqdq+BFfCbxFcruDAWQUNfavBk5xmb+FUVSY2cP5WRVkJNN89FkFaX6frN+3SpQsApKWlmZiIejpDIBDc3d3PnTtHo9GuX7/u4OBgZGQEAHl5eWvXrlVSUoqPjyeRfvdSeHl51Xae6kvVxMbG8v6gp6cHAIaGhn5+fvxX2Ww2g8GQlq5hP5js7GxPT8/aLjRjxgxbW1sRn6jtyMjIAABV1Qb3gtRm+vTp169emXHj06OZpo1Ya71d6GdAySxicblQ11YDv/U3aPyao7yrWKnJyhBq/t318Xfa0dcZx0+caMTjAtHU1NT2HTi4cMECc1XpYWYddm/JBmWzRVOZw2DNuJ7Qr18/3mD6ZsG7xxbnZlC1RM2YxOIJZv1HRTzxLSumx7y8q2HeQ0FDHwCYhfnBZ7ZJU6gLfL9KSv+e2/fO72Bt58FgMBz2X/dYWlo87w/yajoAoKCuN3L9af6rXA67glmCl6ph9EIJPfet777aLmQ1ZFIXI2sRn6iJ3l879PKcp/uuGwb2rvxGaTIVAIpza12nrEaMvCxo1nssgrSyTlebmpqa4vH4sLAw0bUpAEydOvXUqVN79uyJiIjgb4CUmprK4XDc3Nz4hWlaWlpERISKSs0TOHR0dAIDAysrK/F4PADExMTwV603MDBQUlIKCAjgvwoAu3bt2rRp05s3b/r06SN0qsLCwnPnztUWbb9+/dpLbRoWFobH4+v8968/CQmJW3fu9rK3m34j4fYUkzo37WyPtg7WabVrje+mPL5brQ8QIzJKltxPWrho4bx581ri6vPmzfv+PWbJmdPqZAJ/2YEOptWyKTqVTBZn+vUEkpLa7Tt3eQOWmoWpqSkOj8+OjxRdmwJA10ETwvwvvr92OCchir9/UlFOGpfLMXEcwS9Mi3MzshOiZOVr3vCMrKqVHBrCqarkTWbPS/lJz/j9vF5eXVeaopj0JZj/KgC8u+r96sLOKYefaFoKz5CrKCmKeOxbW7TaVr1btDZV0jUDgOTQEMHaNPzxZQBQ1rdo0Kmy4yNxzXqPRZBW1gF/iotGIBAcHByePXtW55E9e/Y0MjI6ePCgtLT0uHHjeI3GxsaysrI3btzw9/ePj4+/dOmSg4ODnJxcSUkJv0NUkL29PYvFmjZtWkhIyLlz5/7991/+gzNJScldu3YVFxd7eHiEhYUlJCQcOHBgx44drq6uNQ4SMDExqagdP8JG8/b2xuFw27dvb+J56vTs2TMHB4dmmdzNR6FQHj15lsnEjrn8M6c++wshjRIcXzjeN9bJaYC396GWu4q39yEnJ+fxvrHB8YUtd5VOLofBGnP5Z2YZ9vHTZ82ysxcfgUDo1csh6UtQnUeqm3VX0ND/dOsEnkA0dfqX10jVNJQkynx/eS/+wzN6euK3Z1d9Fg8iyJBYZaW0tBp2s1M3tWVXsR7uWZga8Tbise+tTR5SMr+fZWNxkk6zNlcwGfd3zs2OjyzISPp08/hb3wO6tv01axokQNUyXPs8u7Yv0/7/NuFfBQDg0+2TO12U3lyueSSMQU9XZT2zL/fOvPHZk/E99Odr/3ueM+PfP1MztjHsNahBF0r6EtSrVzPfYxGkNXW62hQARo0adf/+fd6oR9EmT57MZrPd3Nz4A3dIJNKFCxdYLNY///xjZGS0YsUKLy+vs2fPstlsC4safrVdsWLFkCFDrl696uTktHXr1jFjxghOwJ85c+aRI0cePnxoa2traGi4du3a6dOnX79+XSxj2DkcDpvN5tbzmXFjMRiMBw8euLk1/0bY+vr6Hz59riAqDz//o8OPPW19XC6c/5g17Wrs6HHj7z142KLjm7FY7L0HD0ePmzDtauz5j1kt/F+yM4rKKh1+/keFlNKHT5/19fWb/fyj3UbFvXvMYgpvVVCd5UB3Lodt3HcEf8F5SWnZ4auPsatYNzdMPDnF7sXJTf1nbhy24jCHwz4zw6H6GezHLdLv4RITdNtv+T+vfXab9v3HeuifCfjWQz0GLt4d//7p+blOJyZ3Dz67zWrwxFGbz4uep9VSOBwuh13bSA4MRmKsp5+aSbfXPnsuLRp4Z+vU7y/vGfcZNsbTTwLbgCecLGZJ/PsnY0Y3/z0WQVoNpqVrkTaooKBAQ0Nj69atq1atatwZaDRaeHh4ly5dzMzMeHUkjUYrKCgwMDCo8fi8vLyMjAwrK6sai04GgxEeHl5SUmJpaampqdm4kGpkbm6upaX19OnTeh7v5eWlp6c3YcKExl1u6tSpjx494s3xqs2+ffu2bt2anp4uLy+8uGCzKCwsHDdm9MuQkKl2Kiv6a4heWAqpp5js0s3P0j6nFnp57Vy7dm2rXXf37t0bNqzvoU3ZPljTXLXuzT+ROhWVVR0ISff5kuPUv//N23eat8eUr6CgQE1do/eUNT3dG7nEWFkxPTs+SpaqoqRtzKsjy4rp5YxCefWad1VlFuYz8rNU9C1qLDpZzJLshG+sslJlXTM55TrWQm6Q09N7kVU0xu++Vc/j3/kdoKjpmDuPru0ALpdTmJVK+xWPI0hRNQ1Jil0EX324e0HCh4DlD2pYyIXv442j7y/vychoqXssgrSCzviTW15eftWqVZ6enh4eHrxh+w1FpVJdXFyEWqjUWqduKCkpKSnVPFgKAEgkUt++fRsRRvNKSEi4cOFCSEhIy10iJyfHy8tr1apVLXfTpFAoz54HXrx4cf3a1fdjombbK7vbKCuL3DUKESEys+TS55w7kfn2Pew+3zreymOa165d6+rq+t+ihUNOfxltpTith4qVWsccgdoKcksqb4Tnnv2UiyVInzp9Zvr06c04xlSIvLz8mtWr9uzfZ+EyTpZa92YK1RHlFHRt+wm1EOVqXfhWmqIoTVGs7VVJaVmtrjX0ubaygoykiKdXJnv7izgGg5GQV9OVV9Nt3CVKC/LeXzmwenUL3mMRpBV0xn5TAGAymaampgMGDLhw4YK4Y2lB5ubmdDrd0dGxV69ey5bVsblIQECApqammZlZIy508eLFp0+ffv78mcFgiOg3nTFjRlBQ0I8fP2pciKB5FRUV7dq16+zpU4VFxTZa5G5qRD0qkSyFbcQi851NeSWHzqz6mct8/4uZRisxNzVZu37DpEmTxLVcIpfLvXLlyi6vHd9/xmpSZR20pE1VpOWlcVKNWgO1U2FzuIVlVcn08rDMsvBfRRSy3Oy589atW9dcy0WJwGQyjU1MFS0ch6062tLXEqPT03uVMwo0LXupm/ewH1PHPqhJX4LllNUVtY0bcaHIZ1cSP73I/BnGYpaI6Dd9vG9xXvSbuJ+tcY9FkJbTGftNAUBaWtrb23vMmDH9+vWbOnWquMNpKQMHDkxLS+NwOPX5DWTQoIYNtxfE5XI5HE737t35yxdU5+Pjc+nSpdu3b7fOTZNMJu/evXvLli3Pnj0LCAgI/fzxzruUomIG++/lZpDqpAiSFDLZ3MJi6rDeI0aM6NGjh3jjwWAwHh4eHh4enz9/9vf3//D+3amw6MKiovIKNOmtDhISGIocSVdX13aQ/YbBg4cMGSIl1UqbDElLSx8+5D1mzBjNrg5dBzVymFDbp9fduTgvncvl1Gc9MD0758ZfiQtcLqeLsbWkdK332G8B1yKfXW21eyyCtJxO2m/Ks379+v379wcEBDg5OYk7lg7u7du3Li4uvKlj4o4FQZBWsn79+r379k/Ye1vb2lHcsXRwaVEfr60atWolusciHUGnrk05HM64ceNevnx5//59R0d062wpb968+ffff52cnG7evNlyQ9wQBGlrOBzO2LHjAoKCR2/307TsJe5wOqy0qA93NnsMGuB86xa6xyIdQaf+TywhIeHr6+vk5OTi4uLj4yPucDomHx8fFxcXJycnX19fdNNEkE5FQkLCz8930ADnqytHfQu4Ju5wOqZvAdeurhw1cICznx+6xyIdBHbr1q3ijkGc8Hj82LFjy8rKVq1alZqa2rNnT95m0EjT5eTk/Pfff9u2bVu9evWpU6f4e18hCNJ54PH4cePGlpeXXdizvjg3Xd3MTpKIlgNrHqUFeYHH1r7x2bNm9erTp9E9Fuk4OvUzfUH37t1bunRpYWHhxo0b582bJ2JOD1InBoNx6tSpHTt2UCiUQ4cOjRo1StwRIQgiZvfu3ftvyVIavcDBY2W3EdP5W5IijcBiloT5X3zvt19BQf7oYXSPRToaVJv+wWQy9+7du2/fPiwWO3LkyMGDB3fr1k1DQwPVqfVRXFycnp4eHh7+7NmzBw8esNnsVatWrV69Gs0YRRCEh3eP3bN3H0hIGDoM1bMboGpoJaekhurU+qhgMhh5mdnx35K+BMW/fwIczprV6B6LdEyoNhVWUFBw+fLl+/fvv337tqqqStzhtDM4HK5Pnz6jRo2aPHkyWvwZQZDqePfYu/fuv3v3lo3usQ2ExeF69+4z2g3dY5GODNWmtaqoqPj+/XtOTg6DwWj62Xx8fD59+nT06NEW3Yi8oR48ePDgwYPDhw83vW+YRCKpqKiYmZkRCIRmiQ1BkI6tGe+xDAZjyZIlI0eOHDlyZLPE1izYbPbixYvt7e2bZRVtdI9FOg9Um7aG2NhYS0vLY8eOzZkzR9yx/IXBYBgbG7u5uR07dkzcsSAIgjTSwoUL79y5Exsb2wpbXjXI6dOnFy1aFBERYW5uLu5YEKTdQLVpaxg+fHhKSkpERAQO1+Y24rpw4cKcOXPCwsK6du0q7lgQBEEaLCYmxtra+syZM9OnTxd3LMLYbHa3bt20tLT8/f3FHQuCtBuoNm1xwcHBAwYMeP78uaurq7hjqQGHw+nVq5eMjExwcLC4Y0EQBGmwgQMH0mi0L1++tM3VPV++fOns7Pzs2bOm7AuNIJ0Kqk1bFpvNtrGx0dfXv3fvnrhjqdWHDx969+59+/ZtNzc3cceCIAjSAHfu3Bk7duzr16/79Okj7lhq9e+//8bFxX379q0NPjpDkDYI1aYt68SJE8uWLYuKijIyMhJ3LKJ4eHi8efPmx48faDkSBEFzWz9kAAAgAElEQVTai/LycjMzs969e/v6+oo7FlESExPNzc29vb3nz58v7lgQpB1oi09AOozCwsItW7YsXry4jRemALBnzx46ne7t7S3uQBAEQepr//79OTk5Xl5e4g6kDvr6+gsXLty4cSOdThd3LAjSDqDatAV5enpyOJz169eLO5C6qaurr127dufOnb9+/RJ3LAiCIHXLyMjYvXv3hg0btLS0xB1L3bZs2YLH43fu3CnuQBCkHUDP9FtKu3uIU1FRYWFhYW9v7+fnJ+5YEARB6jBp0qQPHz58//5dSkpK3LHUS3sZ4oUgYodq05YycuTIhISEyMjIdjT4/e7du2PGjHn16pWjo6O4Y0EQBKkVbwbnnTt32tFW8rypsXp6evfv3xd3LAjSpqHatEXw1o1qj4uGDBo0KD8/v82uxoIgCMJb+U5WVjYoKEjcsTQM70dDQEDAwIEDxR0LgrRdqDZtfrzFlrW1tR8+fCjuWBrs+/fvVlZWp0+fnjFjhrhjQRAEqcH58+fnzp3bTncMGTFiRFJSUvt6pIYgrQz1jTW/s2fP/vjxY9++feIOpDHMzMzmzJmzbt26oqIicceCIAgijMFgbNq0ad68ee2xMAUAb2/vhISE8+fPizsQBGm7UL9pM2MwGEZGRhMmTDh48KC4Y2mkgoICQ0PDGTNm7N27V9yxIAiC/GXVqlXnz5+Pi4tTVFQUdyyNtGzZsitXrsTHx5PJZHHHgiBtEeo3bWbbt29nsVgbNmwQdyCNJy8vv3Xr1sOHD8fGxoo7FgRBkD8SEhKOHj3q6enZfgtTANi8eTOXy237y7IiiLigftPmlJSUZGZmduDAgYULF4o7libhzSfV1tb29/cXdywIgiC/DR8+PDk5uQMM1jx27NiKFSuio6MNDQ3FHQuCtDmoNm1Obm5uP3/+jIyMxOPx4o6lqXjzSZ88eTJkyBBxx4IgCAKBgYEDBw7sGJPc2Wy2tbW1oaHh3bt3xR0LgrQ5qDZtNiEhIU5OTk+fPh08eLC4Y2kebm5uUVFRMTExkpKS4o4FQZBOrbKy0tLS0tzc/M6dO+KOpXkEBQW5uLg8f/7c1dVV3LEgSNuCatPmweFwevTooaKi8vjxY3HH0mySkpLMzc137ty5bNkycceCIEindvDgwfXr10dFRXWkh+DDhg3LyMj4+vUrFosVdywI0oaguVDN4/z585GRkR1sYruent7y5cu3bt2anZ0t7lgQBOm8cnNzPT09V65c2ZEKUwA4cODA9+/fL168KO5AEKRtQf2mzYDBYBgbG48dO/bw4cPijqWZMZlMU1PTQYMGnTlzRtyxIAjSSc2ePfvp06c/f/6UlZUVdyzNbMmSJdevX4+Li0PrSSEIH+o3bQZeXl7l5eWbN28WdyDNT1paeseOHefPnw8NDRV3LAiCdEbh4eEXL17cvXt3xytMAWDr1q1sNnv37t3iDgRB2hDUb9pUycnJZmZme/bs+e+//8QdS4vgcrl9+/blcDhv377FYDDiDgdBkM6lX79+lZWV796966j3n8OHD69evTomJsbAwEDcsSBIm4Bq06YaM2ZMTEzMt2/fOsC6UbUJCwuzs7O7cuXK+PHjxR0LgiCdyLVr1zw8PD58+NCjRw9xx9JSqqqqrK2tTU1Nb926Je5YEKRNQLVpk7x7987R0fHRo0dDhw4Vdywta/r06S9evPj586eMjIy4Y0EQpFMoKyszNTV1dna+cOGCuGNpWY8fPx4+fHhISEi/fv3EHQuCiB+qTRuPw+HY29uTyeQXL16IO5YWl5OTY2xsvHTp0q1bt4o7FgRBOoUtW7Z4e3vHxsZ26dJF3LG0uCFDhmRnZ3/9+lVCAs0DQTo79D3QeJcuXQoPDz906JC4A2kNKioq69ev37t3b0pKirhjQRCk40tLS9u/f/+mTZs6Q2EKAAcPHoyJibl06ZK4A0EQ8UP9po1UUlJiZGTk5uZ27NgxccfSSlgslqWlpbW19Y0bN8QdC4IgHdy4cePCwsJiYmIIBIK4Y2klixYtun37dlxcnJycnLhjQRBxQv2mjbRr166ysrJO9YBbUlJy//79N2/efPXqlbhjQRCkI3v37t3t27cPHTrUeQpTANi+fXtVVdWePXvEHQiCiBnqN22MtLQ0ExOTHTt2dMLNPHmDokJDQ9EmewiCtATeFtDy8vKBgYHijqW1eXt7r1u3LiYmRl9fX9yxIIjYoNq0Mdzd3b9+/dqpHjbx/fjxw8rK6ujRo3PnzhV3LAiCdECnTp1avHhxeHi4hYWFuGNpbZWVlZaWllZWVmjoFNKZodq0wT58+NC7d+8HDx6MGDFC3LGIx7Jlyy5fvhwXF0elUsUdC4IgHUpBQYGxsbGHh8fBgwfFHYt4+Pv7//PPP69everbt6+4Y0EQ8UC1acNwOJyePXuSSKSgoCBxxyI2hYWFRkZGkyZN8vb2FncsCIJ0KEuXLvXz84uLi1NQUBB3LGIzePDg3Nzc0NBQ/npSlZWVsbGxnbAjGemc0Fyohrl8+XJYWFgnWTeqNhQKxdPT89ixY9HR0eKOBUGQjuPHjx8nTpzYuXNnZy5MAeDgwYNRUVGXL1/m/fXx48cmJibr1q0Tb1QI0mpQv2kDMJlMExOT4cOHnzhxQtyxiFmn2ncAQZDWgaZa8i1YsODu3bsPHz5cv359UFAQBoNRVVXNzMwUd1wI0hpQbdoAmzZtOnLkSFxcnIqKirhjET/efq2dedwtgiDN6OHDhyNHjkT7dvLExcXZ2dmVlJRgsdjKykoAwGAwNBpNXl5e3KEhSItDtWl9paenGxsbb9++fcWKFeKOpa3ozOsVIAjSjHhbe9jY2Fy/fl3csYhZZWXlxYsXV69ezWQyeVUpH5oghXQSaLxpfa1atapLly6LFi0SdyBtyIEDB7Kzsw8fPizuQBAEad+8vb3T0tLQsvMPHz40NjZesGBBUVGRUGGKx+MjIyPFFRiCtCZUm9bLx48fb9y4ceDAAdRBKEhDQ2PlypU7duzIysoSdywIgrRXOTk5O3fuXL16tba2trhjEaeysrKTJ08mJyez2ewaD0C1KdJJoGf6NcjNzVVWVub/lcvl9uzZU0ZGJjg4WIxRtU1lZWWmpqZOTk4XL14UbM/Pz1dUVBRXVAiCtFnVbw7Tpk0LCgr6+fOnjIyMuKJqI9hs9qJFi06fPl3jj+auXbui8hTpDFC/aQ3c3d3//fffxMRE3l/9/PxCQ0P37dsn3qjaJiKRuHv3bh8fn8+fP/NaYmJinJ2d0XInCILUaN26dc7OzjExMby/fv361dfXd//+/agwBQAsFnvy5Elvb28MBoPBYIRe/fnzZ1VVlVgCQ5DWhPpNa0ChUIqLi7FY7PLly5cvX96jR4/BgwefPn1a3HG1Xf3796+oqHj06NHWrVtPnjzJ4XAsLCy+ffsm7rgQBGlzunbtGh0d/T/2zjOuyaQJ4JNKegKEhN6rIiKiFDuWU+wNeznPevY7251nOz09vebZe3nt2HvHLigqRSkivbcklDRS3w/hYogQCITq8//5gewzuztJnDzz7O7MoFCoefPmbdiwYcSIEUql8tmzZ1+6Yl8zFy5cmDRpklwu19rfj4+P9/DwaC6tEBCaBsQ31SY7O9vGxkb1Nw6HMzIyIhKJ0dHRlpaWzatYS+bt27dDhw4VCoUCgUD1WI/D4QQCAQ6Ha27VEBAQWhBSqZRMJquifFQ/sGQy+caNG76+vs2tWosjPDw8ODhYIBCog6LQaPSpU6fGjx/fvIohIDQ2yJ6+NpqneaRSKZ/P53A4vXr1un37djNq1ZJ5/PjxlClTCgoKSktL1ftNUqk0ISGheRVDQEBoacTHx6s9LdUPbFFR0fjx4+/cudO8irVAAgICIiMjrays1A/5WCwWOW+K8DWA+KbaxMbG4vF4zRaFQpGWlhYcHDxkyJBPnz41l2ItkLS0tFGjRvXp0+fTp08KhULzEhqNjoqKai7FEBAQWibR0dHqGvEqFApFenr6oEGDRo4cmZaW1lyKtUycnZ3fvHnTuXNnLBYLAFKp9N27d82tFAJCo4P4ptrExMR8mb9D1XLz5s2ZM2ciR9FVCASCQYMGXb58GQC+/EywWCzimyIgIGgRFRWlcrM0Uf3AXrlyZdCgQQKBoDn0armYmpo+fPgwODgYg8EolUrkdxXhawDxTbV5/fp1tbnlMBjMsGHDbt++/eUP69cJmUx+/Phxp06dqv1AJBKJOnIfAQEBQcWrV68kEsmX7TgcztPT88GDB0i0/peQSKQrV66sXr0aAIqKigoLC5tbIwSExgWJhaqCSCSiUCha29MAgEKhFixYsH37dq3dKASxWDxt2rQLFy58+aGRSCQ+n4/E3iIgIKhQKpVUKvXLlVEMBjN48OAzZ86QSKRmUawxyM7Ovnbt2sOwsKjomKKCAj6/vLk1agVQKFQzNruTd8e+QUHDhg2ztrZubo0QmgfEN61CZGRk165dNVtUSea2b9++cOHC5tKqhaNUKtevX//rr79+eSk5OdnJyanpVUJAQGiBJCcnu7i4fNm+cOHCtvTkHxsbu2bN2ps3b+AJJPcuPW3dOzJYlkQy1SCDp8W9FfHL2vn1MchoLQ2RoLykMDczMSYx8qlELBw8eMjGjb96eXk1t14ITQ2yPV2FmJgYDAaj3tPHYDA4HO7cuXPDhg1rXsVaMigUasOGDba2tnPmzFEqleoFVBQKFRUVhfimCAgIKqKiolCozwsiqif/HTt2zJ8/v3kVMxRcLnfNmjX79++39/CetfmId+/BWBy+9m764Nt/pExSgcW38erZMqkk+vHN+yd2+Pj4zJkzZ+PGjSYmJs2tFELT0UaeUw2FyjdV/Y3D4RgMxtOnTxHHtC589913d+7cIRKJ6uOnOBwuOjq6ebVCQEBoOURHR6vTIWEwGAKBcO3atTbjmIaHh7t7tDtz/tK0tbtXHQ/z7T/S4I6pijbvmAIAFof37T9y1fGwaWt3nzl/yd2jXXh4eHMrhdB0IL5pFd68eaM6p4/D4aysrMLDw7t06dLcSrUa+vXrFxERwWazVbcfqVT65s2b5lYKAQGhpfDmzRt11n0mk/nixYvBgwc3t1KG4cyZM336BFl5+Px66W3g0InIOXuDgEKhAodO/PXSWysPnz59gs6cOdPcGiE0Ech5088olUoajcbn87FYrJ+f3/Xr142NjZtbqdZHfn5+cHDwhw8fpFIpk8ksKipqbo0QEBBaBEwmk8PhYLFYT0/P27dvm5ubN7dGhuHgwYNz5szpP2n+mCUb0WhMc6vTBlEo5Be2r7l/avf+/ftnzZrV3OogNDqIb/qZ9PR0BwcHABg9evTJkycJBEJza9RaUQXvh4aGAkBeXl6buQMhICDUm4KCAtVPwbBhw9pSSP7Dhw8HDhoUPGPZsDk/GWRAQSnv3aPrAOAfHILDV7kNFWalfnz7nGrM9O4VbJC5GgOlQoFqnLC2a/u33Dry553bt/v27dsY4yO0HOoTC1VQUPD48eOYmJiCgoLy8raTFyM3NxcAPDw80Gj01KlTDTgylUpls9kdO3bs3bs3m8024MgNRCwWP3/+/O3bt2lpaSUlJV/mgao3SqXS1dU1KSkpJCSkLfmmBALB2Ni4Xbt2/v7+HTt2bG51ENogMTExERERcXFxPB6voqKiudUxGPn5+QDg6uqKx+OnT59uqGHRaDSDwXB0dPTx8enevXsTrykkJyePHjO2c9/hQ2evMtSYZLpx1KMbsc/u5KcnjV2ySd2ukMv2rZyWmRiz4O9G39pOeP34zLYV1V6y8/D+buOBL9sLMpLDQg9EP74p4pc5e/v3nzTfo2tvw2o1dPaqgoxPo8eMfRP52tnZ2bCDI7Qo9Fg3lclkZ8+e3bdnV/ir1xgUyplNNadgybhGVa9JSS4S4TAoOxPD/7QJpJDPlyUXlMuVygC/rnO/XzB+/PjmzeEfGRm5Y8fOi5cuiYQCMtPKiGWPIjLA0GekKoozFTIp0bwNherLKpTCEn52okRYbmltM3vmd/PmzWOxWM2tFkKrp7CwcO/evQcOHc7NzsKTqBRrdxSJAdi2E/Uiyk9BoTEElr2Bx1UqlaKSisJ0QXEOkUQePWrU4sWLfH19DTxLDXzzzcCPmXmrjj3QWuBsIKWcgnVj/QVlvFVH7jl5VaY1vHFw65W9v3UbNvnb9XsMOFe1JEY+OffXz1qNUok4P/2Td+/BXzrHkgrRrxO68wpz/QaGUBgmbx9e5eXnLNl9ydWnm2EVk0rEv0/v52ZrcffuHcOOjNCiqKtv+vjx44ULvv+YmDTQw2S0l2l3RzoR19biqHhCmTGpEf1FkVTxPLX0YiznTgLXzd115649vXv3brzpaiI3N3f5ipVnTp+i2Xuadpto7N0fb2zReNPJ+Dwspc0d21Uq+Rmx3Dc3uS/PYZTSDevWLly4UB2AjICgF1KpdOfOnes2/CpH4UwCx5n4DqbYeRn8QbHZaeyfAgkvjxd9n/PidFn6hwkTJ/2xbaulpWXjTQcAV69eHTly5PKDtwzugQHA24dX9y6fYm7vsu7sCxyekJMcv3FSTzqTvT40wlCpUvXl9NZlbx9eW3vmGd1Ue/fv3F8/3T+1e/HOix269QeAMk7h+vGBeALx9+vvDa5GSsyr32cMuHLlCpJCpw1Tu2/K5/Nnz5p55uy5/u7MdQNsHEyRU5gNJY0j3nAv635i8YTx4w4cPEShUJps6n379v2wbDmGYmo1Zo2Jz6Amm7etopCIcm7tyr+3z97O/kLoWWSXH0FfYmJixoSMT89INx8w1yp4ARpPbG6NWj3cd7dzLmyU8zl///nH3LlzG2kWuVzu6ubOcu0087fDjTTFoV9mRdw6N2DKwjGLNvw2NSgzMWbZ/htuvj0MOEUZp/DtwysO7X3t2/volvzw8sG/i8b8uPeqe5deX15d1NvWhG29/txLdcuRtXNe3jjz8//CHD0Nv4Z9aPV3hUlRSR8T1TkfEdoYtax9ZmVlde8WcP/m1ROT3Y9NcEEcU4PgYEo4NsHlxGT3+zevdg8MyMrKaoJJ5XL5okWLvv/+e9Ogme03PEIcU4OAxhNtRiz3+vUxB8sM6Nb9+vXrza0RQmvi+vXrAd26c7FMr18f24xYjjimBsHEZ1D7DY9Mg2Z+//33CxctUtdSMSw3b95MS00ZNnd1YwyuYuLKP43ZVvdP7T70y+yMhOh+E783lGPKL+E8uXjkzzlDl33jdur3ZdyC7FrkS7lH13/fZcCoah1TfglHWFbSzq+3ZiPbzhkAMuLfGURhLYbNXZ2WmnLr1q3GGByhJaDLN42Li/Pr4ltRlHljZrsglza3LdvcBLkY35jZrqIow69L57i4uEadSyKRDB46bN+BQy5z99uMWI7GtZ1DbC0BI6aN25JTNN/hI0aM3Lt3b3Org9A62Lt374iRI+m+w12XnDJi2jS3Om0KNM7IZsRyl7n79x04NHjoMFXWasNy+swZjy49WTaOBh9ZDYlK/3b9HlAqX9+9YOnoPmrhugYOKCwreXblf//MH/FDf5cTvy0RlHIHz1y+5vQzn6BaNsdPbflRVF46ZlE1hakBID/9EwDQmVViXs3tXACgjFvcQJ2rhWXj6O7b4zSS7rTtUuPxysLCwsHBA22Ikv9NdKcaIcvmjYINw+jKDI+pp5MGDxr4+s3bxgupmTV7zqMnz9yXX6A4eDfSFF85KAzWceo2vInV/AULrK2thw4d2twaIbRorl+/Pn/BAuvhy6yHLG5uXdospr6DjUytHv09ftbsOcePHTXgyEql8s6duwNnrjTgmNXCsnbEGREkYhHL1qmmcKuoRzci710qzEpx6ug3aPpShlk18QNlnMKjG76Pj3ikVCpdfbqN+2Gzd+/BphZ1eiLKTUl4c/9S8IxlJubW1QoUZqUCAJleZQHL1MIWAITlJXWZoh549Rx0+/A2pVKJlDlok1S/bioWi0cMG6oU8A6FODe2Y3o3kXv9A8ewkvqi0CfHq17CtUI1whwd74IRlwweNFAoFBpy6P/YsmXLyRMnHGfuamzHlBt1lxNZ101tvYT1QKlnGix95XViPWQxu+ekcRMmxsTEGHBYhDZGXFzchEmTWd1CGtsxRUyS4uDtNGffyZMnf//9dwMOm5qaWlrCU0fQNxJKheLwmtkSscjS0T368c3wm2e/lHn//N7uHycSKTT/4PHJ0RF/zR3GL+V+KVbGK3r//J5Sqew7bvb4ZVv6TphbR8cUAO4c347B4QdMXlCTABaPBwBBKU+zsUIkAAAyrbF2XJ28upaW8NLT0xtpfITmpfp10w0bNsS/j7n2nYdp4+eI+vdJDk8kHeppakDJOpLKER97nX83kVsmlnexpc4OsOjuSDeIsF4wiNij452HHY7fuHHjli1bDDKmmrdv367+5Re7ceuNO/Yz7MhfknPjXymfZ9qlTkuGegnXirggNT/sGDfqrlxURnXuYjFgNt2juwHl6479xE1JhWljQsbHf4hFIvcRvkQqlY4YNcbIxsthytbGngsxSQBgePa2DVn78+rV/fv379y5s0HGTEtLA4BG3dAHgNvH/vkUHd5z1PQhs1asHdP19NZlbr7dTdifFy9lUsmxXxf0Hjtz8k9/A4DfoLGrhng+uXBk8HfLtIaydHBbvONC5P1Lz6+dvH96D9PKrlPvIZ36DHH29tddyIqbnx1x+3znvsO1lkU1UYXtF+WkazYKyngAQDU22P1aC5atEwCkpaWpKuYgtDGqWTdNSUn55++/VvSxdGY2xcH8b/3Mv+9mZVjJuiCWKqafTjz7rrC3M2NaF3YaRzTtdGJERlnDheuBM5O4vLfl33/9mZSUZKgxAUCpVC5avJTh3Nmi7wwDDlsT5n2/tRr0fWMI60YhESfumF747CzDsze79zRRQVrijmllSRGGktcLFAbr8O0/GRkZO3fuNMiACG2MHTt2pGek20/7E4Vp9AzHiEmqsOj3HcPNb978hYaqg1hWVgYAJArNIKNVS2ZizNV9m00tbEKWbjZhW49dsknELzu2fr7mWyjMTCktzg8YPF71kmrMNLd3jXlSTYQQGoPt0H3AjA37/nmYuuCfs84d/Z5dOb5t5qAf+jkfXT9Py63U5MnFowq5rMcIXcVo2HbOKBSqKDtNszEr6QMAOHh20edN64Hqwy8paawzAwjNSzW+6dIlix1MiZN9m6h80Vhvsyld6jRX3SXrwu8PM1OKRftCXLcOdVzVz/bSDE+qEWbp5eSGC9ePKV3YjkzSsh+WGnDMU6dORYS/tJnwW9PkSjQLHMvuPaUxhHWTefl3UX6K67x9jlO32o5e5bnqEoZATT5c4yepr7y+4E0s2QPmrFv/a2FhoaHGRGgbFBYWrv91o/mAuU0T/ISYpBqbkA1vI1+fOnXKIKPJZDIAQDfa04VUIj64eqZCLvt2/R4CmQIAPUd9696lZ/yrR49CD6rF8jM+AYCFg5u6xdzehZOvK+gei8N79wqeuenQPw9Tv//zpEfX3m/uX85MrPEMUlzEQzLd2KNrNeH5ahhmFq4+3T69e6l2T+Uy6avbocYsSzuPxjpIpvrwVV8EQttD2zeNi4u7fuPm6r6WWLTBvJmEAuHMsx/9/3n37enE89FFz1JLZ59L4gkr/0utuZW29Eqlk7f8Wsrqm2kF5ZL5Fz51/ftd4PaoH66kCCWKLyUbTmh0kQebFOTCUL00o+B6OTMyeRVR2fwGCtcPLBq1uq/l9Zu3DBizv2nzFmbAaLJte0MNCADC7ISPu2e+W+mfuPPbopfnS+OfJe2dLePzACDt9JrkI5W3k5Tjy9NOrZaUFHw6MP/d8q5RqwJTjv6gqPh8oFZTuIEUPQ8lWXswOgSpXuJoZgzPXhXFmfzUKIPI1wOr4AVyNA6J2UfQYs+ePXIUziq4xqN79aCOJgm1WWXbNkmybXtmwOjfthjy1GnjceHftXlpH3uPnaXO2YRCoaat3YUnEC/8u6Ygo/I+WJCZgkKjiRrLt0xLexG/9MsBy3nFt4/9o/nvwem9BZkptu5e/ScvrDZ8CgCEZSUZCdEunQJRaG1X4emlo7N9ja8fqPw8g2csk8mk+1ZMfRd2LTHy6Y7FIUU56VPX7EQClRDqh/Zj35EjRxzMKH2cDXZ+OSKjbPKJBCIO3cfFGI2C1TfTLGj45GLR+oH2qjneZvF5IqlKOC5PyBVK7yRybRlGwzuYRmXzz0UVlotlB8e7aUk2EK5QViqSjetkptnoZEoEgJhcfidrSr2FG0IfZ2N7JuXo0aN//vlnw0d79erVx4R4r7V/NXwoNWVJEQn/TEbjicYd+gAKnXZyNd7EQpSXbD9uPYAxP+WtlF95HF6YGSflc7lRd4yYtqZ+w/mpUYXPz8mE5W7zKx/6NYUbgozPlQlLzbqP02wksp0AgJ8eQ3Hs1ED5+oHGE00Cxx08fGTduoamfUFoMyiVyoOHj5gEjjNgHtO6myTUZpVt2yQBgB00/f3G4NevX3ft2rgxTA0kPuJR2Nn9ZtYOYxZXydlkZmU/csG6c3+uOrxm9qpj99FoDAaLUyoUYiFfXSlKKhGzbKqpEV3KKbi4o8bfIhtXz2rbE988VSoU1YZ8KZVKhUKuPmDQPiBo5qYDx39dsGfZZAAgUenjftiiqhGFgFAPtH3T61cvB7vRDfWoo1DCmlvpeCz69hwva4YRAMwNFA7cH6ujS1ZJxfzuVj/1s0WhQKGE4P2xz9KqeQrUgiuUHX+dX9PV4HYmbiySZktKsQgA2BS8ZqMTkwAAxQJt91cv4YaAQkGwO+3alUsG8U1v3LhBYduS7bwaPlQlSkX66TVoLN5r7W0jU2sAEH4zN3bjwJrEK4qzrAbNtx39E6BQoFTEbgwuTXhW6yQyPjc/7HhNV018g0mWbpotovwUAMAzqhz2IJg7AYC0vJrUevrK1xuTzh/+OwEAACAASURBVMHvb++OjY318jLcV4DQmomNjc3Nzurw7WCDjainSUK9rLLNmCTFviOFZXP9+vUW7pu28+9z8G31d73+E7/vP/HzmWBVEFJxdpqNW+WPDJ9XbO1SzUaZtXP7Q+/0DpDwCRpWU69eo2f0Gl0ljKHrN2N8+41Ij49SKhQOHXx1h1ghIOimim/K4XA+paStC/Qw1Ogf8gTx+YIFPaxUjikAuLNJwz2ZF2KKaupCwKF/7GOtco7RKOhiS32fJ8grk1jQ8DV1AQCOQPrnoxqrKzmaErR803SuGAAYxCpv34puBABlYu0iInoJN5BAB/qe5wlcLtfExKSBQz1/8ZLkEmAQrVQIMj8IsuKtgheo7oIAQLJ2Z3YZXhR+oVp5NJ5gPfzHyqOuKDTVuYsg472El4c3rn7/SIW0nJN1tUbXnGDuqHUjFBemAwCWzNBsNDK1AgC5sJpfVX3l6w3FviOeRA0PD0d8UwQV4eHheBKVYrjHRX1NEupllW3GJAGA5Br44mW4YcdsRlx8AlAoVEZijMo3VSoUCa+f9J0wr7n0QWOwjh0aK/gJ4auiir+VkJAAAO5V3biGkMEVw3/b32pcWbr2s5hknBH289EWOhELAAJJLS6gM5OY8otfTVdxGO11YDwGBQAloirHqEVSBQDQCdpPe3oJNxDVh5+YmBgYGNjAoeISEsi9DFl5WVyYAQBE8yobRkQr15rkcVSmZgEqLJkOAHKxQPcsRHNnv70pNV1FYbWzMqGweACQCapEayokIgDAkKpJ8qWvfP1BochWromJiYYcE6E1k5CQQLZyNWBgor4mCfWyyrZjkgAkK/e4pwdrl2slmLCtO3T/5sqeTXbuHVm2zjcObhULyn2CkMIfCK0e7XVTADAlGSz2sFQsAwDjqgPKdWZWJmCrSR1Qa94PFAoIOF31V7VgUfEAkMETazbyRDIA+DKlq17CDUT14RcXG2Anq4TLpVMNmVtOJiwFACyl6llkRY2PDejqq5jU/l3W0LF68HQWAIiLMjQbZQIeAOCqe/v6yjcENNlEZVMICADA4XDQlOY0SaifVbYhk8RSTXhtyyRn/XZo+4JRGyZ0R6HRZCpj1ubDjZ11FQGhCajiNVZUVAAAvjrvsH6otvIjM8v7u33+9fyQV8vKWT0o5Eu3P6kxccb4TiwvS7Jmi6MpAYWCTF6FZmN8vgAAvoxt0ku4gag+fLFYXKtkrUglFWisroMQ+qLaNyz/FGnc8fMJd0HmBwNOAQDS0sLs69trusrqMV7rBC2B7QgoVEVRpmajICseAKqNotBXvkFgjQzyVSK0DSQSCWAQk9SmKU0SjTWSSipql2smoh/flEoruvQfVXdJIoX207EHnLwsfgnH1s3ry4B6fVEqFHoNIhbwZTIJhV7jITTdArV2R/g6adzkz+4sEhaNeppS8nN/W1VLBk/8LLX22CZ9KRPLTr8tqOlqgB1NyzdlU/H+drSIjLIMrtjOhAAAMrnycmyxOQ3vZaHtbuol3IYhWbmj0NiS+Ke28LOqRVyUURpfe3iTXsiEZQXPTtd0leYWoHUjxDPYNFf/sqQIcWEGgWUHAEq5rDjiMt7YvNqDffrKIyC0WBCTbGPcOLSNX8qti2+qJWlqYVP3GqTVUpCRHBZ6IPrxTRG/zNnbv/+k+R5de9fai1/KXR8SQKTQNl6MrIdArd0Rvloa1zc1p+G/87fY/zJ3yeXkYZ7MNI7oWM3R9A3BmUlMX+uvV5eFPa2mnkycE5q0qJc1g4DZ/Tw3kyc+PslDdRjs5JuCn2+mLe1lvbS3da3CXwl4Y3OL/t/l3t2ffHgJs+swUUFaftgxg89CtHD235+uVxerwQsTt09N2jfHesgiDImRe3u3uCjTY/Fx1cG+gicn007+bD10qfWwpXWRR0BoLbRSk4QvrBIxSRVB4+ZIKkSGlawLkgrRzqXjeIW5fgNDKAyTtw+v7lw8bsnuS64+3XR3PLZhfklRHrHm+li6BWrtjvDV0uhF837ub0snYA5G5J2PLjImYUd5mdEImH8eZ1ONmjnBRC8nxo5Rzsuupcw6+xEAaATsuoH26uz6ACBXfD7mWqvwV4LtmJ8xJHre/YNFL89jKcZm/qMwJFr2tX8wRGozasVo38t51o6UY8s+7p4FAFgSzX78OnUebwBQKuSaJ+pqlUdAaC20UpOEqlaJmKSKwKETDS5ZFy7v+jU//dPinRdVGUn7TZi3fnzgkXVzf7/+Xkevx+cPfXj5gEyvMRu6boFauyN8zaA0i/OGhoaOGzcuZ4MhEw+pKRXJVEH3v9xKe/CRF7HUpzFm0ReZQhmby1cooZMVBVNbKSy9hOuN1brwc+fOhYSENHAcFArlOnefaZdGidmUCUuxJDoApJ36hRf7wGerwSpf1xulQsZPjwWFguLYCVWH1Hr6yteDpL1zghyIoaGhjTE4QqsjJCQkLE3kOm9/YwyOmGRd4EReT9o3V1lrdG1tqO6V9cgYmv3pw7V9WzI/xli7ePoEDWOwLJ5cPDpl9XbVgcsz25aLhfxv1+8FgOMbF2JxRoO/+zH0n9XJ0REYDNa1c/eJK/80IpK0JBvOot62Jmzr9edeqluOrJ3z8saZn/8X5ujpW22X3JSETZN7j1q4/unlY0qF4stNed0CtXavCzN9aAa5VyK0QAwW9lQtYqli6MEP6++kw3/ZoIQSxePkkvbm5Fp6NhVYNMrHmuprQ62Lr6mXcNtDIRF/+G1o+tn1AKC6CyoqhCVxj8k2hqyJWm9QaCzV0Yfq7FvHu5q+8ggILQ3EJFsXSe9ebJ7WNynqpbN3AInGOLX1x9Nbl799cEUiriwbmxL7+uPb56q/sz7Gvn9+57cpfXj5OV2/GWNibv3i2snDa2Z/KdlA+CUcYVlJO7/emo1sO2cAyIh/V20XqUR84KcZLj4BfSfMrYdArd0REBp3T5+AQzOI2COv8svE8n5uxqUi2bmowvwyyZ/DqymqhtDCQeMJWAoj/+ERuajMuGM/maC08Pk5CS/faboBqlghICDoC2KSrQilQnFm2wos3mjNqaequKUBUxZumtRLR5fi3MxB05eOWrgehUIpFYpNk3slvH5c60T8Es6j0BpzuHbuO9zSqUp5nfz0TwBAZ5prNprbuQBAGbf6bIbn//mlpChv6Z7LqBoOBOsWqLU7AkKjnzfdM8Zlx7PspymlodGFJBymgwX5+CR3fzvk7HOrxGX2nuybO0rjnha+CMXgSWS7Du6LjtNc9YtCQ0BAMBSISbYWMj/GZiW9H/TtD+qAemvn9l0GjAq/ebamLngj4rC5P6kcOBQa7eztn5EYwyvIMWZb6ZionFd8dd/mmq6y7Zy1fNPCrFQA0Dr3aWphCwDC8ioFEVTEPrsTdu7A93+d0nJn6yhQa3cEBGgC35RKwKzub7e6P5SL5WSjr3MzvO2AIVLtxqyGMavlonIMgQyoxj0TgoCAoBvEJFsLhdmp8N96pBotN1ELqgkTp1H1gEQzBoAKUS0Jws3tXfeE15hREYvTzrCLxeMBQFDK02xUzUKmaQcqlRbnH1k3r8fIaT59qo9k0C1Qa3cEBBWN7puqoRq6vCdCM9K8UcAICAhaICbZwhGWlQAAhVElybxCrquIF86omvretQZyoVAofHUda4JuygaAopx0zUZBGQ8AqMbadbkenT/ML+GI+GVH189TtZQU5iqVyqPr57FtnYNn/KhbQFIh1t297mojtG2azjdtVMI+8crF8uEdmM2tCEJD4cWGycXlzK7Dm1sRBASEShCrbDhMSzsASI6O6NhzkLox82OswScq5RTcOLitpqvdh0+x8/DWbGHbOaNQqKLsNM3GrKQPAODg2UWrO9WYaePmVZCZom6RSSQKpSLz43sUCl2rgI2bl+7uCAgq2ohvuud5bjpX3KJ8027/RgU60P4YhkR96UfunT3iwvQWdReM+qkbzT3Qadofza0IAkLzgFhlw7F08kBjsPERYaMXbVC1FOWkJ7x6ZPCJROWlzy4fr+mqa+duWr4pw8zC1afbp3cvi7LTzKwdAEAuk766HWrMstSSBIC+4+f0HT9Hs2XjxB6SCvG6M8/rLqDjKgKCijbim7Y0QqOK0rniQAck5KvVU/QiVFyYTnMPbG5FEBAQKmmNVmnMsuw3cd69EzuPrJvbZcDowsyUsNADjTGRub3rvlfVx9fXRPCMZf8uGrNvxdTBM5eTqIzbx/4pyklf9O95VRjW00tHT27+YejslUNnr2oMhREQvgTxTQ1JXpnk78dZ0TmC+PxajqsjtHAkvLysa38L0qIFWfHNrQsCAgJA67fKMYs2kKj0B6f2vLx+mkI38QsOIVEZ1w/8TiQ38ypG+4CgmZsOHP91wZ5lkwGARKWP+2GLqkYUACiVSoVC3vCCBQgIdadBvmmFTLHzWc6lmOLcsgorulF3R/qaAXYUjWKk4ell1+M4T1NKxFJFVztagB1tYmeWKlZ/+bUUiVy5tJf1rmc5j5NLHEyJ4zuZje5oduBl3qXYotwyiZcFeWOwg4NpZZTi3PNJ7djkQAfaoYi8F6mlTDJujLfZvG5W1Qb+l4llWx5kvsoo5wqlvjbUiZ1ZQS6f4w1rVbve8CvkqcVimhHG24oSncNv+IBNiUJakXNrZ3H4pQperpGJFd2ju13IGgyBorpa9jGcE3m9JP6pQiKmuXSluQWwek5UpchOOb5cKZNYD12ac2tXyYfHRLaDWffxZgGj8+4dKIq4JOHmku28HCZuJLAdVEMl7ZtLtmlHcwvMe3CoNOEFjsY0CxxjNXBetSHGMmFZ5qUt5R9fSflcqrMvq8dEY6+gOurcEORivjg/FUOkURy8+WnRDR8QAUFf6m2SoKdV6mWSoNMqG88kofVbJRqDHTJzxZCZK4RlJSQaAwBOb13GtLRVF5T/5eQTtbDm3yqGz/15+Nyfa7raQLp+M8a334j0+CilQuHQwRetUf6g1+gZvUbPqKnjmtPPdI+sW6DW7ghfJw3yTX+6kXYhpmh0R6anuXkGr+LU24KEAuG1mZ6qqy/TSsf/L4FqhBnpxTQh4Z6mlKy6kZrBE/8ywA4A4vKEeWUVz1JK6QRMNwf61Q/F4emlV94XP00pDXJhWDOMHiTxxh2Pj1jqo/I+n6eWxuYK9rzI6WZPn+zLfpJcuvl+ZhpH/GUa/7wyycjDHzhC6ZiOZjQC9nFyybRTiWu/sZ8VYFEXtRuCixnx4oz2AJDOFXf7N6rhAzYlaSd/Knp5gRkw2tzWs6Ioo+DpKWF2gufP1wCgNPFlwl/jMUQq028kjmpSEvc09cQqcVGG3dhfAECYGVfByyuNf4Yh0enu3Yojr5Z+DC9+daU07inDK8jI1JoX+yD+z3E+2yJUt7rShOeCjNic23vo7t3YvSaXxj3JvLBZXJD2ZcJwCS/vw+8jpeUcs8AxWCKt5MPjxB3T7Metteg/q1adGwjRwqX9yosAIC5Mj/qpW8MHREDQl3qbJOhplXU3SajNKhvPJKGVW6WkQvTn7CFOHbqMW/a7yjGtEAnjwh/auHk1t2qVoDFYxw7awU8ICM1C/X1TiUxxMbaorwvjnxHOqhY7Y6O1t9NTOWJHUwIAXHnPwaBR4Us60QhYAJjf3dJ/e9T9jzyVbwoAhXzpyr62i3paAcDwDswpJxNeppc9WuCt6r7kcvL56KJ0buVoAJDBFa8fWOliLg+Cccfjz0YVTu1i7mVZpQLq5vsZWSUVN2Z16GRNAYBlfWwmnUj47X7GWG8zBhFbq9pquELZ8df5Nb394HYmbixSvT+9loZCJikKv8jw6us84x9Vi5GZXfqZteKCVALbkfPqCgqN6fR7OJZEAwDLQfOjVvrzYu6rb4TS0kLbkSuthiwCAKbf8ITtU8o+vvTe9IjAdgSA5MNLil6eFxemq14CgLgww37ceosBswAARi6P/3Nc4fOz5n2mku2q/ExnXNhcUZzVYfUNimMnALAZvixh+6SMC7+ZBY7Fkhm6ddYcR8bn5ofVGBxg4htMsnRr+GeIgGBAGmiSoKdV1tEkQadVoo1IdTRJ+PqsEm9EJNONH57dL+SXdew5UFBW8uLaSV5h7rS1u5pbNQSEFkf9fVO5EgAgPL3sQ57A04IMAN/6WUzwYRthK3fZZwdazPAzVzmmACCRK+kETJn4czo3DBo1r5ul6u/25iQA6OZAVzuIgfb089FFSUVCdQuNgJ3pX7n2iUbBop5WL9NKn6SUaPqmJSLZ5ffF3lYUlWMKADgMalJn1ou00lvx3ImdWbWqrYYjkP75KKumt+9oSmhLviko5ABQ9jFckPmBbOsJABZ9v2X3mIDCGQGAxYDZ5n1nqO6CAKCUSTAkulxUpu6NQmMsB1bmqyPZtAcAuns39d2I7h5Y9PK8MDdJ3YIl0Sz6z1R3thq8qDTxZUncE80boUxQUvzqMsXBW3ULBAAUFsfqOak04QX37S1Wz4m6ddZEWs7JulpjFUeCuWMbuwsitAUaZpKgp1XWxSShNqtk+o/UobMWX6FVzt585ObhP+NfPXp5/RSeSLJz9170b6irTytbAEZAaALq75sScegfe9tsfZj5zb5YFzNioAO9rwujlzNDXfrJmUnkCWX7X+a+zeJnlYjTOOLyCjmb+rkoBZuKw2EqhY2waAAw17iKRgMASGWfz187mhI0q++6mREBIIMr1tQqpVikVIJAIp97PkndyBfLASCDJ66L2mqcmcSUX/xqevtqzdsGaDzRZtiPmZe3xm74hmjhQncPZHj1ZXj2Uh1fI1o4y/i83Lv7+SlvxcVZ4sI0uagcz2Cru+MYbBQWVzkUzggA8AyNenRoNAAoZVJ1A4HtCBrfJdHKDQDEhRmaKonyU0CplIsFSfvmqhvlIj4AiIsyatVZE6K5s9/eFKgBteYICC2HBpok6GmVdTFJqM0q626S8FVaJZFCG7P4VwAQ8csIJAoKjWT0RECongadN13U02q4p2lodFHYJ96JyPzjr/MdTQkXZ3iyKDgA2Psi94+wLDwWFWBH6+HIWNSTsv9lbiavQt2dhNP+wULp9PdUw6oh4jHwn1OrhieSAQAeg8Zp+JrGJOwoL6arGbEuamsqQ8B9Rb8dVkMWmXYdXvQylBcblv/4RP6j4wS2o+fKizg6K/fO3qwrf6CweJpbAKNdD8qQRbl391cUZ6r7Yoy+WELW+V3i6CzNlxg8Ef67faqR8XkAgMbhUZjP3wuWYsz0H0W0dK1VZy1l0PgqBzYQEFo+DTFJ0NMq62KSUAerrKtJwldtlergp6bn/fN7IkFZ12/GNJcCWijkMkCh0NU9vSB8zdTfN5XKlSKp3JphtDzIZnmQTSFfuuNp9tFX+Udf5a3sa8sRSDffzzAl454v6qQOgd/xNLshuqZXXSLNLqkAACdmleJstsYEAHAwJewc/blssVyhFEjkRBymVrU1hyrkS7c/qVHh8Z1YWudcWzVKmVQuERkxrW1GLLcZsVxaWph9Y0d+2NG8h0ct+s/MuLAZRzXttOW5Ot42+8aOhkwnLkzXfFnByQYAonmVsDaCmS0AEFgOLrN2ftZTIZeLBaobpw6dbUet1BxKWlqYfX17Tcqweoz/8lAdAkLz0gJNEmqzyrqbJCBW2UzcOb69MDutJfimEbdCH4UeyEyMlctlLBuHoHFz+oydiawlI6io//+D52mlHlsir7yvzPHLouBUh0dLRDIAyC6tUChhkIeJ2jHNLZXE5QsbomsqR5zG+eyenosqhP8OqqpxMCGYknFPkktk8s+HAXY9y/HYEhmVw69VbU3KxLLTbwtq+qd1lqC1U5r4PHKhR/GrK6qXODrLctA8AJAJSyo42aBUmHQepL4LSri5wqy4hkwnzk8VF3wukVf4/Bz8dyRODYHlgKOalsQ9Uco/fzU5t3ZFLvTgp0Xp1llrOpmwrODZ6Zr+fblxiYDQ7LRAk4TarLLuJgmIVX7dvLxx5vCaWYKykn4T5/UJmVkhFJzeuuzmkRrPHyN8bdR/3bSLDZVJxv3zJNuSbuRpTk7jilXLov1cjQHAyZRIxmOufeAEuRg7M4mRmeXbwjIpRhihRJ5SLNJa7KwjcqVyxpnEFX1tHU0JtxO4hyPyhnqa+tlV2RzBYVA/9bNddjVlwaVP87tbUY0wdxO525/m9HSid7Gh1qq2Js5MYvpa//p9OK0OqnMXHI2Zff0fIxNLsq2nuDBNtQxj7NWPaO6EMSJzXl8z7hBENHcuT47MvLwNQ6DIK4Si/JQvV1bqglIpT9w1w3bkCoK5I/ft7bwHh027DKW5Vjndi8LibEf/lHJs2aeDC6wGzccQqdyouznXt9Pb9aQ6d9Gts9Z0RAtn//3p9ftkEBCahRZoklCbVcorBHU0SUCs8uvm3omdLFun1SceEclUABg0femqIR0enTs4ZOaK5lYNoUVQf9+UYoTZNcZl8aXkMUcrn9eNsOiVfW37uhqrrv49wumHKynTTycCAIOI3TDQnohHL7mcHLQ7JmNdfXy+7g50cxp+9rmPCiUAQIA9bctg7bwkADDBhyWSKjbdy7j+gQMAWDRqQmfWqr62qqNWutX+asEQKC6zdiUfXhy3rXKvB40zsh210tirLwA4zfg75cgPiTumAwCWzLAfvwFtREw+vCRmTZD/wfosb9A9uuMZ5h/3zAalAgBobgGOk7d8KcbqMUEhEWWc38SJvA4AKDSW1XOC7ahVqmNzunVGQGjVtEyTBJ1WiZhkTUgl4ltH/o64eZZXmGtibu3epVfI0t8I5M8lCT6+efbmwZX4iDBJhdjFO8C1c7eeo6arTmEe37hQLpUMmbXy9tG/P4Q/ZNs6dR8+xT943L2Tu17dOsctyLHz8J6w4g+2beUzyf6V061dPd19ezw4vTch8gnNxCxgyISBUxdXu10uLC+9tGtD0rsX/BKOs5dfj5HTOnQfUHe164eIX5aTEt93/ByVYwoADDML9y49EyOfymVSTFsMg0PQF5RmIbLQ0NBx48blbAioe3+RVJFQIMgpkZiQsW4sEpNc5X8VTyj7kC9gUXCuZiSVa8gTykrFMnsTvY/Ae26N9LaknJziUSqSxeQKzGl4dWxTtfAr5B/yBUKJ3J1FtqTjta7qVrt5sVoXfu7cuZCQkAaOg0KhXOfuM+0ytO5dFBKRIDtBwsnBUkxIVm44GlN9ScbnCTI/4BgskoWryjWU8XkyYSmBZa+vYpGLPSn23h5LT8qEpYL0GDzDXB3bVC1yMV+Q+UEuFpKt3fEmlnXXudlJ2jsnyIEYGhra3IogtAhCQkLC0kSu8/bXvUvLNEnQaZUt2SQ5kdeT9s1tePlN1b3y0Luy2kUBAODo+u/Db5wJGDLe1q1jYXbqs0vHbdw6/HTsgepqYuTTv+cNJ1JpfgPHUhim8a8eJUdHDJy2eMzijQCwaXIvXkEuCo0mUel2Ht6R9y7JZVLPwH5xEY+8ug9AozGxz+/STFlbb3xQeZ9L+tgTqXR+Cce9S09LR/e48Ifp8VE9RkxVJVL9Y1ZwYXbaH7cTAIBXkLP1u2/KecUBQyYSKbS48IdZSe9Dftjcf+L3dVG73lSIhFkfY82s7enMysQRIn7ZmtFdbN07LvpXj1/LmT40g9wrEVogDYrTBwAiDu1jTfWxrv6qMQnbw5Gu1WJMatCkdCK2pxO9VjGKEcbfrsZYSN1qf7Wg8USqow84+nx5CUsxprfrodWCpTRosRlLotPb9axVDEOg0FxrXGjXoTMCQmunZZok6LRKxCS1kEkqIm6d8+rxzbfr96paWNaOZ/5YUZCRzLZzBoDXdy+gsdgt12JJVDoADPp26aohXtFPbqt8UwAo5RSMnL9m8HfLAaDrwLH/Lhz98c3zjRdeq7ofWTf35fXThVmpqpcAUJSdNu7HLf0nzQeAEfN++WvesOdXT/QeO9POw1tTsYs71xXnZv78vzBHT18AGD735+0LRl/8d23g4AlkunGtaqvhl3AehR6s6e137jvc0slDs8WISHL2rvzPc//0Hm5uZuzzuwqFfPCMH+vz+SK0RRrqmyIgICAgICDUhEKhAICPb55lJsbYuncEgKBxs7uPmIozqkzRNWDygqDxc1SOKQDIpFISlS7if16URaMx30xdrPrbxtUTANy79lQ7iG6de7y8fjo3NVHdQqLS+/239olCo4Nn/JgY+TQu/KGmbyoo5b26fd6+vY/KMQUALA7fc9S0xMgn78Ku9Rg5rVa11ZTziq/u21zT22fbOWv5pppc3rVBIhYBgKWTB87oK80phvAlrcY3ZVPwJi1p5x2h3uDpbBzVpLm1QEBAqAQxyUYFTyAOm7Pq8u6Nv07sYeHg5t6lZ4duAzwD+6qTeprbu/JLufdO7EyJfV2cm1GYmSISlDPMLNQjMMwssLjKk2k4PEHVor6KxmAAQCaTqFtYtk4ojVy2Vk4eAFCU/TkPAwDkZ3xSKpUVQsH+ldPVjSJBGQAUZqfVRW015vaue8ILanr7as2rZc/LgoLMlOTo8Es7N/w2NWjb7Xi6KVuHPMJXQqvxTR/O79jcKiAYho6/PmxuFRAQED6DmGRjM/i75V2/GfPi+un3z+8+vnD4UehBtp3zikO3VX7YneP/Xt37GxaPd+vcvZ1fn8Ezl987sbM453NMG56oXUYBhdKV/5HBNNd8iSeSAQBbtdKBoJQLAFi8EQb32Q2gMEz8g0Os/lvm1K22hjIovJEeuXeUSiUolerYLLatE9vWCYVCH1k39/3ze92HT6n7UAhtlVbjmyIgICAgILQ6ZFKJRCwytbQdMW/1iHmrSzkFNw/9EXbuQNjZ/SPnry3nFV/cuY5qzNx8JVodAn/z0B8NmbEwK1XzJSc3AwDM7V00G5lW9gDAtnWauemQulGhkIsFfDyBWKvamkOVcgpuHNxWkzLdh0/ROud6++jfl3ZtWLzjgmZOAArDFAC4+Q0q0IPQpEJNugAAIABJREFUZmhq3zTsE69cLB/eofkjN0++KeAKZQDgbEYM9jDkfpZCCRoFU+FJSklMjgAACFj07ECLGru1NnixYXJxObPr8OZWBAqenJSVcwGAaOls4hNc5ZpSAToXGPSlJO6JIC0GANB4gsWA2QYcGQGhgbQck4QmtMqWb5KJkU+3Lxg1c9NB/+BxAEA3ZQ+ctiTs3AFBWQkAcPKylAqFT9AwtWPKLcjO+vieZvpFldc6k5+RXJCZos4q9eLqSQCwdeugKcOycaQaM+NePtBM23TryF9X9mxaeeSui3eAbrU1EZWXPrt8vCZlXDt30/JNrV3aA0B8RJimb/r08jEAsHHtAAgITe+b7nmem84VtwTf9HBEXlZJBZuKD3JhaPmm3f6NCnSg/TFMvxTWqRzxsdf5dxO5ZWJ5F1vq7ACL7o50AIjK5p+PLioWSLFoVFvyTXPv7BEXpreEG2Heg8MVxVl4BpvRIUh1FxQXpOaHHeNG3ZWLyqjOXSwGzKZ7dK/HyFE/daO5BzpN+7yGwU+NKnp5XlpWjMJgW+aNEOGrpeWYJDShVbZ8k3Tu6E81Mbt+4HdjlqWte8fCrFTVsqhX928AwNzOxYhEjrx3sUO3/ub2rsnREVf2biJQqBVCfn76J63FzjqiVMh3/zBhxPw15rbO78KuPTi7r0v/US6dAjVlsDj8qIXrj/+64NDqWQO/XUokU6Mf37xx6I92/n2cO/rXqrYm5vau+14V1129Dt0GWDu3f3h2P5FK9wzsxyvMfXP/SszT2/btfTr2HFiP94vQ9viq9/T97Wgnp2jHD4ZGFaVzxYEONeafqhaxVDH9dGJ+mWSkF9OYiL0Zz5l2OvHUFA9/O9qSXtZLelkvvpz84CPPcLojVIHm6u+x9KTqb4VEnLhjuoSXz/QfiSUbc97eTNwxzWPpKR2JqKql6EWouDCd5l7lB9166BLroUuSDy/mxTQ0yR8CQtumaayy5ZskgUyZ9duhI2vn/jF7sKoFhyeMnL/Wq8c3qqvfrttzdMP3O5eMAwAy3Xjcj78bEUlH1s5ZO9bvQCS3HjN6dO3NYFnsXT5FqVAAgJtvj0k///2lWI8RUyVi0YXtayLvXwIANAbbc+S0kfPXquKodKvdEFBo9Px/zhxaPfPa/i3X9leWePAJGjZhxTY05qv2SRDUIP8PKskrk/z9OCs6RxCfL6hH998fZqYUi05M9ghyYQDAd/4W/ffGLL2cHL4ESfLX1GRe/l2Un+Kx5ASjQxAAWPT/LmZd/+TDS322htelu4SXl3Xtb0FatCArvpE1RUD4WvjKrbKdX5/NV6OzP33g5GdRGaZWTu2oJmbqq779R7p37ZWZGMNgmls4uqtcQzffHsKyEgD45eQTzaHIdGOtnP8Bg8cHDB6v2YLGYGZs2Df+x9/T46MYLAtLR3f1peUHb2lK9h0/p9vQSZkfYyqEAiuXdibsKkm/davdEMys7FcduVecm5GXloQnENh2LsYs7boqCF8zevumv9xKi8sT7A9xZVE/J4ZYcS01q0T8v0keOAwqPL3sehznaUqJWKroakcLsKNN7MzCaB7A/I/Fl5IVSuXO0Z/3LHY9y3mYxDv/bXssGgUAZWLZlgeZrzLKuUKprw11YmdWkEtjVRblV8hTi8U0I4y3FSU6h69v99DoIg82SeWYAoAZBdfLmXEhuigqm9/JuqEV3hqJtFO/CLLiXOftx9M/H2xKPb5CXJzlsfh/KCwOAMo+hnMir5fEP1VIxDSXrjS3AFbPiagvcogkH1qsVCpcZu1Ut+Tc2sWLfdh+xXkUuvL/mExYlnlpS/nHV1I+l+rsy+ox0dgrqDHeV9HzUJK1h+oWCAA4mhnDs1fRywv81CiKY6dau8vFfHF+KoZIozh489OiG0NDBISaqNUq62iSUAerbDKTBMQqAfAEomOHLo4dulR7lUI3aefXR6uFQm9QIASJxmjn36dWMQKZ4urTraarutVuCCg02szawczaweAjI7QB9D6Qbm9CeJ1Zfivh80ZDQbnkzLsCBhGLw6BeppWOOx5/9X1xb2fGxM7s3NKKVTdStzzIrHao2Fx+bG6VRco0rvh1ZrmqnlxemWTA3tgLMUV+dtRxnVhZJRXTTiUeDM/TV+E64mJGvDij/cUZ7XeP0ft8D1coKxXJelStVuVkSgSAmFy93dwmg8C2L//0mvv282O0pKSg4NkZLIWhckxLE1/G/zmu+PVVRvve7J4TK7i5qSdWZV6spso2PyNWkBGr2SIuSCv/9BoUlbUBJby82A0Dil5eoLr5sbqPqyjOStwxLe9+jaVE6o2Mz5UJS7Xq5RDZTgDAT4+pywhEC5f2Ky+2X3nRZfZug6uHgKAb3VZZd5OE2qyyyUwSEKtEQEDQE73XTUd2YG68m3EjjjO9a2UGtWsfOAoljOvEAoAr7zkYNCp8SScaAQsA87tb+m+Puv+R98sAO30n2nw/I6uk4sasDqp1x2V9bCadSPjtfsZYbzMGUVttrlB2/HV+TUMFtzNxY2nnhzMgKcUiAGBTqmQYdmISAKBYIG28eRsI029kxrmNnDc3zIOmq1o4kddAqWB1G1f58tUVFBrT6fdwLIkGAJaD5ket9OfF3Lcb+4u+c2Vc2FxRnNVh9Q3VGonN8GUJ2ydlXPjNLHAslszQlJTxuflhNYZ8mvgGkyzddEwkyk8BADyjSvo9grkTAEjL9Titj4DQLOi2ytZokoBYZdNCNzNX5WNCQGi96O2bmpJxfVwYYZ9KigVSJhkHAFc/FJvT8D2dGAAwO9Bihp+5yjEFAIlcSSdgysRyfWcpEckuvy/2tqKoN8RxGNSkzqwXaaW34rkTO2sn1+AIpH8+yqppNEdTQqP6pulcMQBoecxWdCMAqMd7bzJwVFNGhz4l78OkZcU4GhMAil9fxRubM9pXFtS2GDDbvO8M1V0QAJQyCYZEl4vKahyxBmSCkuJXlykO3urNOxQWx+o5qTThBfftLVbPiZrC0nJO1tU/axqKYO6o+0YoLkwHAK2bq5GpFQDIhXprjoDQxOi2ytZokoBYZdOyITSiuVVAQGgoVdwp1RFspRJQ1ZwO/cxYb7P7H3l3EriTfdlZJRVR2fyFPaxUB0qdmUSeULb/Ze7bLH5WiTiNIy6vkLOpukqWVUtKsUipBIFEPvd8krqRL5YDQAZP/KW8M5OY8otfTaPhMDrfT4PBY1AAUCKSaTaKpAoAoBOqOQemA9V5BpTuL6Bu1GUQs25jeTH3uVF32L0mVxRn8VOjrIIXqlMPEi2cZXxe7t39/JS34uIscWGaXFSutfhRF0T5KaBUysWCpH1z1Y1yER8AxEUZWsJEc2e/vSk1vilsLXVrUVg8AMgEVTLwKSQiAMCQ6NX3aUSUBvkqEdoGKBQKQFmrmA6rbI0mCS3KKpWtxiTfP78nEpR1/WZMcysCTy8dLecVA4CFg5tP0DADjlwhFBiRyOqXceFh6fFvAQBnRBwweYEBJ0JodVTxTSkUCgCIpAoSXtc51P6uxnQi9kYcZ7Iv+9qHYgAI6VS5kLn3Re4fYVl4LCrAjtbDkbGoJ2X/y9xMXkUdtSkRVrp3PJEMAPAYNE4jiMqYhB3lxXQ1q6Y2GgoFBJwhU6zrhSosTMtpVr0FU3LtP9ya8CVyAKDR9MtgVS1EMkVeIdQtY9yxP5ZE57y5we41uTjyGgCwuoeor+be2Zt15Q8UFk9zC2C060EZsij37v6K4upPD2uheR+S8XkAgMbhUZjPnwaWYsz0H0W0dNXuiUKhq9bW0wtVBInW/VUm4AEAjtrk+1wVAirVvHYxhK8DCoUCktq3sHVYZUNMEjSssilNElqSVcrFfBKF2pQz1ps7x7cXZqe1BN/0wem9xbkZDDOLDt36a/mmPw/3dvPtMW3Nzpr6VktGYsylnevS4t4Jy0popizvXoPHLt1EJFPTPkS+vHGmjFuIweIQ3/Qrp4pvamFhAQC5ZRXOTF21cfFY9DBP0zNvC3lC2dX3HF8bqqMpAQA4Aunm+xmmZNzzRZ0oRpXrhTue1liCDIVCKRQKzZYUjkj1h60xAQAcTAmaUfxyhVIgkRNx1axEFvKl25/UONH4TiwvS3JNVxuOoykBhQItF1yVi0rfIP38MgkAmJsbwKFhs80l3FzdMmgs3rTrsMKnZ2R8Huf1VaqzL4HtqLokLedkXNiMo5p22vIcQ6h8F9k3dlQ7Dgq0v0rVCTMVBDNbACCwHDRDhpUKuVwswOC1/6dJSwuzr2+vSWFWj/FkOy8d74jAdgQUqqKoyt1alXemLuHAhkVWmm9uXmMALMLXhrm5uazkZa1iNVmlXiYJOq2yKU0SWpJVSkryWSy9l5kRXH26Ldl1SavxxbVThVmpbr49qu1SE+nxUX/NHYrBYP0GhpDpxpH3Lj69dDTzY8zq42FDZq0cMmvlkbVzYp7dMZzuCK2SKr6ph4cHDot9nyvQ7ZsCQIi32YnIgt3Pc+LyBer6SdmlFQolDPIwUTumuaWSuHwhs4a1Q2uG0dOUEplcicWgAOBjoTCNW7n06GBCMCXjniR/vgoAu57lbAvLuvydZ1db7QffMrHs9NuCmrQNsKM1qm/KpuL97WgRGWUZXLGdCQEAZHLl5dhicxrey0I/3/R9ngCHxbq7u9cuWhveHb2epb+vVcysW0jB4xM5t3cLMuM0CyBVcLJBqTDpPEh9F5Rwc4VZcaozcFoYMa1L4p8q5TIUBgsAwtyP4sI09VUCywFHNS2Je6IWAICcW7uyLm/zXHWZ6tJVcyiZsKzg2ematKW5Bei+EeIZbJqrf1lShLgwg8CyAwClXFYccRlvbE6p7Q5qWBQVwvLclA4dkBJ8CJV4eXmV5/6hkIjQX/h/WlRrlXqZJOi0yqY0SWhJVinK+tCjY5PO2PbgFeRcO/B7ety7rKTa7y9fEnZuv7RCvOJ/YTZuXgAwYt7qv+YOS3j9+O3Dq779RxpaWYTWShXf1MjIKDDA/3FK0kivWmqK+lhTHU0JB8LziDj0UM/KTRknUyIZj7n2gRPkYuzMJEZmlm8Ly6QYYYQSeUqxyOkLf9fHmvIwibfkSvKkzuw0jnj38xyaEUZV4x6HQf3Uz3bZ1ZQFlz7N725FNcLcTeRuf5rT04nexaaaHRlnJjF9rX71RfTiYHjexnsZS3tZL+1tXa3Awp5WU08mzglNWtTLmkHA7H6em8kTH5/koe/RpsfJJYEBfkZGRg3XuW9Qn5vLVyllUt0HwqiOPgS2Y969A2g80bTLUHU70dwJY0TmvL5m3CGIaO5cnhyZeXkbhkCRVwhF+SlE8yoFXSmOPrzYh8mHl7B7TRIXpOXc3o0h0mT8ykRjKCzOdvRPKceWfTq4wGrQfAyRyo26m3N9O71dT6qzdto8ooWz//70hrxxq8ELE7dPTdo3x3rIIgyJkXt7t7go02PxcfUx6rx7BzPOb7QeutR62NKGTKSb0oTnSoW8d+/ejTcFQuuiV69eSoW8NP6ZsfcA3ZLVWqVeJgk6rbKJTRJqs8qmMUmFTFKW8KLfd1sbbwpNTm9dlvXx/dxtx+nMz/tg/9u0qDg3Y9G/57E4/Mc3z948uBIfESapELt4B7h27tZz1HR0dalqD6+ZrVQqZm46pG65ffTv2Gd3lx+8qSqkJCwvvbRrQ9K7F/wSjrOXX4+R0zRL1RsWsZBfkJFMpNDs2/ukx73Tt3tKzCsbtw4qx1RFt2GTE14/Tot7i/imCGq04/RHjh7zy6oV/Aq5eu2zJsZ0NNsWlhXcgUn9T5JihPl7hNMPV1Kmn04EAAYRu2GgPRGPXnI5OWh3TMY6bd9xTqDl26zyy7HFqiXGMR3NAGDXsxzV1Qk+LJFUselexvUPHADAolETOrNW9bVtloPsCqVSrlDqiGLo5cTYMcp52bWUWWc/AgCNgF030F6dir+O8Cvkdz+W/rY1pHbROjB8+PBFixdzo+5oepzVYhY4JuvyNmbnYAzxs9+PIVCcZvydcuSHxB3TAQBLZtiP34A2IiYfXhKzJsj/YJWjY5bfzClPeVv86nLxq8t4Y3OzgDEAkHNrl1qA1WOCQiLKOL+JE3kdAFBoLKvnBNtRq2oJu6sXjPa9nGftSDm27OPuWQCAJdHsx69TJ/0GAKVSoVTI6xKV0hCKIy76+Qey2cgGIkIl5ubmXf0CUiMu1eqbQnVWqZdJQm1W2ZQmCbVZZdOYJC/qrkwiGjbMkNE8OmDZOIWdO/Au7FqfkNmqlpKivGdX/ufbbyQWh0+MfPr3vOFEKs1v4FgKwzT+1aOTm5cW56SPWbzxy6EyEqK1jmcUZKZ8ig5XKBRoDPAKcrZ+9005rzhgyEQihRYX/nDHkpCQHzb3n/h9Y7wvCwe3FYduA0BhVurPw7316iuXSdsH9HXw9NVs5BVkAwCZ1liFdRBaI9q+6dSpU3/+adWJNwXzutVSQGxxL+vFvbQXEYe0N+3mQP+QL2BRcK5mJNWvXKA9vVRcGeR04dv2amEiDn1isgdHIM0vl7Rjk1XCP/WzVQvM8DMP8Tb7kC8QSuTuLLIlXe94/3pgb0LI2RCg1Tgn0LJCprQ11rWcObwDc3B709hcvkIJnawo1ZbC0s2JNwUKFHrKlCn6dqwWa2vr4ODBz+7vN/Udovt+Yz1ksfWQxV+2m/oOobt3E2R+wDFYJAtX1SB0t0CZsBQA2q+4oJZE44keS05IyzkSXj7Zpp1K0nb0T5qjmfedYdYtRJD5QS4Wkq3d8SaNWKGO2XW4qe9gfnosKBQUx05aVXMsv5mjlFYYmdnW1F0FgWUfcDinfgqIC9J4UXfnHz1Sv+4IbZUF38+d/u0McUEagV1LOZxqrbLuJgl1sMqmNEnQaZV1NEloiFUqlQX39wcHD7a2rn7vy+D4DRob+s/qNw+uqn3TyPuXlQpF9+GTAeD13QtoLHbLtVgSlQ4Ag75dumqIV/ST29X6prq5uHNdcW7mz/8Lc/T0BYDhc3/evmD0xX/XBg6eQKZrO3z8Es6j0BorLHTuO9zSyUNfBeoOBoubuLJKPrJyblFY6EEMFufVc2DjzYvQ6tD2TY2NjZevWPnX1i2jvZgs/XM/AYAxCdvDka7VYkyqMZGqKRmnI5idYoTxtzNA0HoDSeeKz74r1HSsqwWLRvlY/5+9O4+LOf0DAP7M0dR0zXTf930hiUTKEUKsQjlyLVpHzkWL3Ims21q3yK1EyBEJiYQOpHTfd1PNVFPN8ftj9jc7O901NZXP+9Uf9Xyf7/N8vtm2T8/3OTq5CLSU1ng8qnDjpj9kZAT25+N+v30DBw4qfRekYDuzcy3gJWX4TnPBS8rgJZuPUERKrvVVtzgxSWnDbpx6wQuDxUvpDm72Er0kqyTqJt8vcsHKubVT38DA3d297argZzJ79uz9/gdzb+8y8AroXAsd+pFEbf1U9uSPJGr5p7IHfiRLo+9QsxL3Bl/qvi74SMnIW4xw/BL1jFpRyjmGPvZJkIyiKuds0vHzVo1x9+QkpgghRmOjuBSpjtbh3V5rqigxj+9omw3W/f9gJF6EMMplQXLsq88RoXbTF/DVp1LK7p/e11JrSlr63Zqb8kl88+TSrpU0Spn77wfU9dv49Qp+Ks2kjJs2bbp04dz+iLzD03R7PqCe9K2oxvP2jyEaUkuHq7ReM6uCHjDXuHMDt7fiSiJSK+Pz2zi81O9FLklGftOmTZ3ooiVmZmbLPJddvuEnazmR9319/1OT++3H355SekNUxi9tszK9JMt4dUDnRolKom5Vfolo/URvSmJEecLzoJcv8fgOn20B+jccDnfy+LHRo0fLJ0Z03+H1vUT7fyq7+0eSWUfND9nv6ek5cODATnTRlJiYGEKI0VCPJ7T2Ms3WeU7C68efXz6wd11cVpCT8fXjpMUbMFgsQkhZ25BWVfEs8ER64oeyguySnPS6GipZoY3fRE0VZaey2ez62pozmxdyC+tqqhFCJXmZTesraxueetfiumG8SE+8nEQIleZl3vzTO+H1Y0UN3aW+5zn5eoc01NchhIjENpYVgj6qmT1BxcXFjxw7cTuu5E58ac8H1GPs9cnWmtJsNmptGun/OeiTm91XtT04XQxUlRxv3OLYxp340ttxJUePnxAXF/D5VXt27ybiUcYFL8RmtV27byKb2UvrWyM2u53z1cjmDs1s4thebMRmS2oPbGnKYH1ZblbAOjf32bAKCjTLwcHBzX12VsC6+rIWj7LrBzr0U9mtP5KIzcq44CWOR3t27+5sF/zk5OQQQtTK8tarDbSbKC5N/vT8PkIo9lkwQmiE81zOpSeXj22cYPzg3AEmo9F02OhFu0/rD+rAAHZNNeWfT6oqEEJ4gihOBM/9kCTL2kyapdbcCCgGgyGIElv6aHYllsC9D7u109025dObGWv27L4T04nEFCFUU1mB/v8PAfqf5sd1XFxcvL29N/r7q5EItjo9f5pOT9g5UbtnOnIfrOg+mP+QVV4fcqibH2b+8ccfLi4uAu9dTk7uSdjDkaPsc+7s1Zy1XeDt9wba7jt7rC/Fke6KI1t8U8+k09JOLtLXUjt/7myPhQT6nIsXzo8c5ZB63MPYO5R7AGk/02M/la3/SCKEsm/vqU56E/kyQoB5DGebv/y0JBnF1sZ68QTRoeNdX4dcplVVfHgarDdwmJKWPkKISikLPrFDSkZ+3714MYl/dgR7dP5giw1hMOz/Di4UZaVyPpFX00YIKWnq8a7iZ7GY9BoaQayZ8ZSq8uKH5/xb6mfkNA8tk44tb+qoxDdPLvgs0x0w1NPvkqxy5+f+5qd/R///hwD9T4vvHPfu3fsjJXnZnbALbvrDesGMz/4qJrv611tpU5yn7tnT4Snw7TRkyJBLF87PnTsXIyqhMXV9N63DBQwaJfXUYtGGyrCHMZwj1gBolri4+P2QYCvrYaknFxisuNjKbFHQJWx2bujhwvBz165dGz6cf4VrV8jJyekbGCbHvja3Hdd6TVvnOZFBF54EHMlNSeSen1RemMtmsQaPmcpNTCuK83JTvkjLNT+KIa+qmfT+JZPRiMOLIIQK0r+X5GZwLilq6ErJyH+Lfs69ihAKu3jo3qm9my8+NRjE/9R11Ko3IZdbitbQakR356Z3T+wiSkqvOBjIu7VWJyTHvtI3MJSVlRVUYKBXaTE3xWKxgVevecyb634l1N9ZZ+YghZ4M6ydxJ75004NM56lTA69ew2K78czV2bNn02i0FStWNpRk6Cw8jBURwP6pgFddYVrayYVkAuvJi3ANDQ1hhwN6Ow0NjZcvwidOmvzdz1l/VQBRRV/YEfU3rMb6zEvrKz49OnPmzOzZswXe/lTnKdfvhLiu3oVp9a99XQtrJS39Z4EnCWLEIeP/eTOmrGUgKi4R+yzYYoSjsrZhWvz7e3/vFZOUqq+lFWWlKmsb8DdiPiTxzdOLO34bNX1hSW7G44AjRElpWmU5QggvQnDx2nl596rzW5dOXLSOKCEVH/no4fmDpjaj9Qc2M0lAWdvwdEzbB+d2Wvi1v+4c2ea8bLPzMu+mV2urK/PTkzSNBjwN5D/m1HiI3QC79i7VZ7NY8RGhc2cJ/k0j6CVaW6tBJBLvBAVv3bp13f7977Kpf4zVUJDs2OnwoCWltEa/F7m340q8vb19fX1b/7+bQCxdulRXV9fFdeZ3v6mas/fwHf0COo3NYhRHBhbcOzjQ3PRB6D1FxdbmbwDAZWZm9in2g/PUXxL8pqr+slHJwQODhcVzgkFN/ZBzwwdV5j958njs2LHd0cXixYsPHz789W14m7vcD5/sfu/U3sFjphIl/lmQKiYhuWjHqUu7VpxY64YQkiDJuG3YL0oUv7jdc/vMYWdjK/haGO+xOj3xQ8zjOzGP78goqtpMdkcIPb50mHPV7pf5DfS6oKM+seF3EUJYHH7U9AXTV27vgV8rTbFZLBaLyW5hGUdawns2m52dnJCdnMB3CYPBtD83/Rr9vCg3c9GiRV2KFfRimJb+G+IVEhKydvUqSnnZGjsVjyFKbW7LD1pBq2cGfiw+9qaQLCt/7MTJ6dN79CSMtLS05StWvngerjDsF7WpG9rcZBG0hs2ifInMv+tLL87csH7djh07OKt3AWg/Op2+a9euQ4ePEJV0VF22ylg4IEw3vkLp9+jFmfmhh0pj7o0Z53j61F/6+t04IO3sPDUhJd3nehQW15k/KmhVFTnJCWR5ZRVdY04eSauqqK2uVNRofoccKqWssqRA3dCi2aSTXkPLSUmor61RMzCVVRLkHq7bZwyVVVZfe/JuO+s/unBQQU1n6MQZnevu4nbPhDdPjr3kP0uCi8Vk7Jk9cqCx3oMHoZ3rAvR+7cpNEUK1tbX+/v4H/Q9g2awJRiQHfbKFioSKNAHy1Pag1jMLqxu+FtZEplU+TaliYbAbN23etGmTwFflt1NoaOiadeuzMzPIxsNJA8ZL6lsRFbXxEmT4pdgmVmM9g1ZRm59clRxdHRdGK8qa4jz1yOFD3forEPR7aWlp69ZvePggVFJZW9pyEsnYVlzNGC8pC9Nv2sZmMWoq64ozaemfqxKfVSa/09LRPXbkcA+c/5Senm5mZu66du8Yt2Xd3ZcQdSg3LcnNOLLil43nwzqdH7eZm764eSbo6NavX74YGnZ6bwfQ27U3N+WgUChXrlwJuRv09u07BpPZfWH1S3gcbsSI4S6uMz08PAS4wX7nMJnMsLCwa9euP37ytLqKItxg+iJdfQOXX6YtWrTI1NRU2LGAfuLbt2+XLl0KuR+akZYq7Fj6HhJZduKE8fPmzXVycsLhemjQ5I8//jhx6u8/Al4oa/fbPGn7jKE1VRSDwbZ6A4Y6zl3ZeuVv717IKKmp6nZm+fzb0Ktf3oZnfv1Ir6W1lJsWZf3wWzjWa8VyPz+/TnQB+oqO5aZc9fX1SUlJxcXFVCpV4DH1P1JSUkpKSqampqKivW5NzsbdAAAgAElEQVQUhM1mZ2VlZWRkVFZW8h3ZDJoSFRWVkZExMzOD9aGg+1RUVCQlJVEoFDqdLuxYejssFksmk3V0dHR0dHp+hiWdTncYPSYzr/CPyxFSMvI93HvPuPWnd0VxPkJIb+Cw8fNWdV9HUfcDv0Q9Q5z5uDv/blqhpoqyf+EYFXmZN69fCeutI+gZncxNAQAAAFBSUmI9dJiYrIrX8SDuaicgcHU11BOrZ9ArCmM/xMCS034P5hcCAAAAnaSoqBj26GFVYZb/Yseyghxhh9M/lRXk+C9yrCrMCnv0EBLTnwHkpgAAAEDnmZmZxX6IkREn+C0YzXkrDQToS9QzvwWjZSQIsR9izMzMhB0O6AmQmwIAAABdoqGh8TbqjZPjuGOrZ5xcO6s4J13YEfUHxTnpJ9fOOrZ6hpPjuLdRb+BYk58HzDcFAAAABCMyMnKV1+qU5ORBDpNtJrubDhvd7Ln2oBUN9LqkmJfvH92Mj3xkZGx88sRxBwcHYQcFehTkpgAAAIDAMBiMmzdv/n36zPt30VgsTlXHgKSgKtq/l0mx2UgQmyTU11ArS/ILs9JYLKbNcNsVy39zc3PD4+G8tJ8O5KYAAACA4BUXF0dGRiYkJAhqv8WsrKysrCx7e3uhnEfakuzs7IyMDAcHh65HxdlvceDAgQ4ODkpKSgIJD/RFkJsCAAAAvR2NRjMyMpo2bdqpU6eEHct/JCUlDRo06NSpU0uWLBF2LKCfgLVQAAAAQG934MABGo22Y8cOYQfCz9TU1NPTc+vWrZWVlcKOBfQTkJsCAAAAvVpeXt7hw4e3b9/eO9907969m8Vi7d27V9iBgH4C3ukDAAAAvdrs2bNjY2O/ffvWCw++5jh16tTatWu/fPliZGQk7FhAnwe5KQAAANB7vXv3bsSIESEhIdOmTRN2LC1iMpmDBw9WUlJ69gxOHwBdBbkpAAAA0Eux2WwbGxsJCYmIiAhhx9KGly9fjhkz5tGjR5MmTRJ2LKBvg9wUAAAA6KWuXLmyePHiz58/DxgwQNixtG3GjBkJCQlfv37ttXMPQJ8Aa6EAAACA3qiurs7Hx2fJkiV9IjFFCB0+fLigoODkyZPCDgT0bZCbAgAAAL3R/v37KRTKzp07hR1Ie2lqaq5fv37Xrl2FhYXCjgX0YfBOHwAAAOh18vPzjYyMduzYsXHjRmHH0gG1tbUmJibjx48/d+6csGMBfRXkpgAAAECvM2/evHfv3iUlJfW5uZvXrl2bP3/++/fvra2thR0L6JMgNwUAAAB6l5iYmOHDhwcFBbm4uAg7lg5js9n29vYMBuPt27cYDEbY4YC+B3JTAAAAoBdhs9l2dnYiIiIvX74UdiydFBcXN2TIkKtXr86ePVvYsYC+B3JTAAAAoBfhvBP/8OGDlZWVsGPpvF9//fXp06cpKSkSEhLCjgX0MZCbAgAAAL1FXV2diYmJo6NjX19LVFJSYmhouHr16t27dws7FtDHwB5SAAAAQG/h7+9fUVHRD/I5RUXFrVu3Hjx4MCsrS9ixgD4Gxk0BAACAXoGzb9S2bdu8vb2FHYsANDQ0DBgwwMLC4s6dO8KOBfQlkJsCAAAAvcL8+fOjoqKSkpLExMSEHYtgPHz40NnZ+dmzZ46OjsKOBfQZkJsCAAAAwvf582dra+tbt27NmDFD2LEI0qRJk3JycuLj4/F4vLBjAX0D5KYAAACAkLHZ7FGjRrFYrKioqH62J2haWpqZmdnRo0eXL18u7FhA3wBroQAAAAAhu3XrVnR09LFjx/pZYooQ0tfXX7ly5bZt28rLy4UdC+gbYNwUAAAAECY6nW5iYjJ69OiLFy8KO5ZuUV1dbWRkNGvWrGPHjgk7FtAHwLgpAAAAIEx//vlnWVnZ3r17hR1Id5GWlt69e/epU6e+fPki7FhAHwDjpgAAAIDQFBcXGxoabtq0aevWrcKOpRuxWKxhw4aRSKTnz58LOxbQ20FuCgAAAAjNokWLXrx4kZycLC4uLuxYuld0dPTIkSNDQkKmTZsm7FhArwa5KQAAACAccXFxQ4YMuX79upubm7Bj6QmzZ8/+8OHDt2/f+s0GrqA7QG4KAAAACIe9vX1jY+Pbt2/73/L8ZuXl5RkbG/ebg69AN4G1UAAAAIAQ3L59+82bN0ePHv1JElOEkLq6+saNG319fQsKCoQdC+i9YNwUAAAA6Gn19fVmZmYjR44MCAgQdiw9qq6uztTU1N7e/md7cNB+MG4KAAAA9LRDhw4VFhbu2bNH2IH0NCKReODAgStXrsTExAg7FtBLwbgpAAAA0KM4+0b9/vvvPj4+wo5FOBwcHGg02ocPH7BYGCMD/OC/CQAAAKBHbdmyRVpaesOGDcIORGiOHj0aHx9/9epVvnIWiyWUeECvArkpAAAA0HPi4+MvX77s7+/f7zc0bcWgQYOWLFmyadOm6upqTklhYeGCBQtOnTol3MBAbwC5KQAAANBz1q5da21t7e7uLuxAhGzfvn0MBsPPz6++vn7//v16enpXrlz5/PmzsOMCwocXdgAAAADAzyI4OPj169dv3rz5efaNaomsrKyPj8+mTZsCAwOLioqYTCZCCBZIAQRroQAAAICe0dDQYG5uPmzYsMDAQGHHInwpKSleXl7h4eFYLJY7zRSPx9NoNFFRUeHGBoQL3ukDAAAAPeHIkSN5eXm+vr7CDkTIKisrvb29zc3NIyMj0X/XPzEYjKSkJKFFBnoHeKcPAAAAdLuSkhI/P79NmzZpamoKOxZhysvLGzx4cGlpabNXcThcXFycpaVlD0cFehUYNwUAAAC63bZt2yQlJTdu3CjsQIRMXV39woULRCIRj29mdAyHw8XHx/d8VKBXgdwUAAAAEDAvL68rV65wV3QkJCRcvHhx//79EhISwg2sN3B2dn7//r2CgkLT9LShoeHDhw9CiQr0HrAWCgAAABAwTU3N3NzcoUOHnjhxYujQoePHj6+oqIBjkHgVFBQ4OTklJSUxGAzeciKRSKPR4Bv1M4PcFAAAABAkKpVKIpHYbDYej2cymePGjXv+/HlUVJStra2wQ+tdaDSau7v748eP+Y6D+vHjh4GBgbCiAkIHf5cAAAAAgpSYmMgZ92EwGGw2OzIyEo/Hh4aGUqlUYYfWu0hKSt6/f3/VqlW8hRgMJi4uTlghgd4AclMAAABAkBISEnhnUjY2NjY2Nh46dEhfX//s2bNwZDwvHA537NixM2fOYLFYznt8ERERyE1/cpCbAgAAAIKUmJjY9NgnBoNRWlrq6ek5fvx4vhmWYNmyZWFhYWJiYng8vrGxMTY2VtgRAWGC3BQAAAAQpNjY2MbGxqblOBxOQUHh4MGDzW6f9JObMGFCVFSUrKwsm83+/PmzsMMBwgRroQAAAACBYbFYkpKSdXV1fOUiIiI6OjrPnj3T0tISSmDdhE6nR0VFffr0KTMzs7KysoszFurq6l6/fl1dXT1lyhQikSioIHsVMTExGRkZU1NTGxubgQMHCjuc3ghyUwAAAEBgfvz4YWRkxFeIx+NtbW3v379PJpOFElV3iI2NPXHixN27d2tqajQ0NPT19WVlZbu+9xODwYiJidHV1VVRURFInL0NnU4vLy//+vVrdXW1pqbm4sWLly9frqioKOy4ehHITQEAAACBuXPnjpubG+/vViwWO3fu3PPnzxMIBCEGJkAFBQWbN2++du2apaXlkiVLnJ2d1dXVBdg+k8lMT083NDQUYJu9DZvN/vTpU1BQ0KVLl+rr67dv3+7l5SUiIiLsuHoFmG8KAAAACExCQgJfhuHj43P58uV+k5iePn3ayMgoOjo6ODj406dPy5cvF2xiihDC4XD9OzFFCGEwmCFDhuzfvz8zM3P16tXbtm0bMGBAQkKCsOPqFSA3BQAAAAQmLi6OsxAKi8XicLizZ8/u3Lmz6bL9vojJZK5evXrFihXr1q379u3b9OnThR1RfyAuLr579+6kpCRVVdWRI0c+ePBA2BEJH7zTBwAAAARGRUWlqKgIj8cTCITg4OCJEycKOyLBaGhomD59emRk5OXLl2fMmCHscPqhxsbGlStXXrx48cSJE8uXLxd2OMIE21gAAAAAglFZWVlcXIzBYBQUFMLDw83MzIQdkcB4enpGRUW9fPly6NChAmmwoqIiJCQEITR37lwxMTHeS2lpaa9evVJQUJg6dapA+moTg8FobGwU7s4AIiIiZ8+e1dTUXLVqlbq6urOzsxCDES7ITQEAAAhBfX39t2/fSkpK+tNJnt+/f2ez2Zqamlu3bk1KSkpKShJUy1JSUkpKSqampqKiooJqs/38/PwCAwPv3bsnqMQUISQrK3vv3r2HDx8mJycfPHiQW85gMGbNmhUXF3fv3j1B9dWKZ8+eeXt7f/36lcFgaGlpbdiwYcWKFS3tNsBisSwtLfmOTtDW1n706JGg4tm2bVt+fv6cOXOioqJ+2h2m4J0+AACAnkOhUK5cuXInOOR99FsmE45H6hgcDm9jO2Km6/T58+fLyMj0TKefPn0aOnTokSNHVq9eLdiWi4qKLCwsKioqoqKihg8fzincs2fP9u3bFy1adPHiRcF219SLFy8cHR3JZPLMmTNFRESCgoKKi4u3b9++a9euZuvn5ORoaWlZWFjIyspyCzU0NAIDAwUYVWNj48SJEwsKChITE3/OlfuQmwIAAOgJtbW1/v7+B/wPshCWbDmRZO4goWlBkFHGiUkKOzSBqf4RI6U/BIPFCbxlJp3WQCmqyflS9TWyMu4JFrE2b9q4adMmcXFxgffFi81m29vbs1isN2/edMeKruDg4BkzZhgZGcXHx4uJiX39+tXKykpFRSUxMVFaWlrg3fFxcHB49epVWlqanp4eQohKpaqrqzOZzKqqKhyumX/EiIiIsWPHxsfHd/eIZm5urrGx8Z49e9avX9+tHfVOkJsCAADodiEhIatWry2roKhMXqPk4NGf8tGex6TTiiMDCx8dk5clnzx+rFvXy1+9enXhwoUfP34cNGhQN3Xh4eFx9erVDRs27N+/38bG5vPnzxEREQ4ODgLsori4OCgoaOjQodbW1rzlenp6DQ0Nubm53BJHR8fXr19XVFRISEg0befMmTPLly+vqanpgZmp27dvP378+I8fP37CbflhDykAAADdiM1mb9myxdXVlak9fIDvG9WJyyEx7SKcmKTqxOUDfN8wtW1dXV23bNnSfcNM+/fv9/Dw6L7EFCF04sQJdXX1I0eOeHh4fPr0ae3atYJKTMvKys6cOTN27Fg1NbVVq1bx5qAc06dPz8vLCwsL43yZkpLy8uXL0aNHN5uYIoTS0tI0NTVpNNrDhw8vXLgQHR3NZDIFEmpT3t7eoqKif//9dze135vBuCkAAIDuUldXN3eeR+iDBzrz/RVsZwo7nH6oNPpO5uVNU6c6X7saKPDBvJiYGBsbm48fP1pZWQm2ZT7Pnz8fP348m802NTX99OkT37L9jqJQKHfv3r19+3ZERASDwRg4cOC0adOmTZs2ePBgvprZ2dm//PJLQkKCra2tmJjYy5cvVVVV792719LzTp8+/dWrV/X19bW1tZwSKyurwMBAExOTrgTcEm9v75s3b2ZlZXVH470ZjJsCAADoFiwWa+48j7DwCOP1NyEx7SYKtjONN9wMC4+YO8+DxWIJtvGHDx/q6Oh0d2KKENLT0+Mk1gYGBl1JTIuLiydPnqykpPTbb78xGIxDhw5lZWXFx8fv2rWraWKKECKTyVpaWmw2OzY29v379ywWC4/Ht7JxRFpaGpVK3bFjx48fP96+fbts2bL4+Php06bV1NR0OuZWuLq6ZmdnJyYmdkfjvRnkpgAAALrFtm3bQkND9X47K204TNix9GfShsMMVl4MffDQx8dHsC2/e/dOsPM+m8VisebPn19bW2tqanr//v1m17zfu3dv9uzZ1tbWa9asKSgoaKmpkpKSsLAwNpu9atUqzsYCWlparXRtZ2d3//79U6dOFRUVlZaWBgcHV1dXT548uaWhyoCAgLi4uE2bNhkYGNja2p45c2b9+vWpqal3797t4EO3y5AhQ6Slpd+9e9cdjfdmkJsCAAAQvLt37+7fv19nwUGSsW1391UR97Q8tl0nPba/ZoexOzJm2aHK7SBlMFRn/gE/Pz/BJknfv383NzcXYIPNOnDgQFRU1NKlS588eSIlJeXl5cU3MTQsLGz69OkkEmnevHlv374dN25ceXl5s02ZmJg8evRo7ty5ly5dGjhwoK6u7vr161+/ft3srNDv379/+fLFwcFh+fLlMjIyRCLRxcVl4cKFtbW1LX0brays+L4hkyZNQgh9/fq1kw/fKgwGY2pqmpyc3B2N92aQmwIAABCw2tparzXrFEfM6plX+fkPj2UH7RNszXaiF2dk3dj+edOw2NVmycfmV32PElTljlKwnak4YpbXmrXcqZBdV15e3t2LxOPi4nbs2KGlpXXo0CENDY2DBw9WVVUtXryYuximoaFhyZIly5cvP3369Jo1ax4/fpyTk3PmzJlmW8Pj8ZMmTQoICCgpKbl//76tre358+ft7e2VlZUXLVqUkZHBW5nzrtze3p630NHRESFEoVCaNp6bmxscHJyTk8NbyGmz+75LCgoKLSXi/RjkpgAAAATswIEDZeUV6i7ePdOd8thFak4rBFuzPVgN9OTjC0ve3CSbOyg5LKgrzkw+vqD6x/uuV+4cDdctZZQqf39/QTVYX19PIBAE1VpTdDp97ty5DAbj4sWLUlJSCKFly5aNHj36+fPnf/31F6dOampqYWGhh4cH50sFBQVjY+PQ0NDWWyYQCFOnTr169WpJSUlwcPDYsWPv3LkTFxfHW8fU1BQhFBQUxFt4+/ZthJCFhUXTNisqKmbMmOHr68tbeOvWLYSQnZ1dR567A8TExOh0ejc13mvBmaUAAAAEiUKh+B/8U2XKegKph/ZlbP/orGDHcXNC9tcVpZusDSRbjEEIqTj+mrDDMe3CusEHmpkg2KHKnSMiLa8yafUB/4Nr1qzpsVOjumLz5s3fv39fuXLlmDFjOCUYDOb8+fMWFhabN28eP368oaFhSkoKQoh3IbyRkdHLly+bbbC0tLTZ06QsLS0NDQ1VVVV5C83MzMaPH//s2bOJEyfOmzdPW1s7JCTkxo0bZmZmv/zyC0Lo7NmzK1as2L59+/bt2xFCAwYMGD58+Llz5+Tk5FxcXFgs1tWrV589e+bq6irAo1wBgtwUAACAYF25coWFsEoOHgJsszbve+79QzU5X8XVTeSsJhHIysWvAnU9DuAlZRBCmdd9mHSa/uIjCKH0yxuxeILa5NXZt3dTU2MxOLy0kY3OnL1YUXG+ml1XGnVbXN2Ek2sihESkFcjm9qXRQbSMOEldy65U7jQlB4/Ch0cDAwMFfr6owIWHh584cUJPT+/AgQO85bq6ur6+vuvWrZs/f/7bt29TU1OxWCyJROJW0NHRuXfvXrNtFhUVeXu3OFrPd5gTFou9ceOGl5fXjRs3nj59yikcNWrUxYsXOaPFbDabyWRyZxdgMJh79+4tWbLEz8/Pz8+PU7h8+fJDhw51+OFBqyA3BQAAIEhBwSFky4kC3GC/+sf770fmYQlEGYvRCIPNvLqVIKtSV5im7bYTIRmEEC39UyPtnwmCtTnfGmkVFXFPROU15YZNo2XElUTdYtRSjVae46vZRQxaBaO2SmGkG28hUUkPIUTLSuBLNztUuStwYpJky4m3g+72/tzU0dGxpU2v1q5du3btWs7nIiIiLBaLSqVyjzCl0+n6+vrN3mhhYdGhXdtlZWWvXbt24MCBb9++1dXVGRsbGxkZcY9m9fT09PT05K2vqKgYGhqanZ2dkpJCJpNNTEw4UxGAYEFuCgAAQGDodPr7d9E6AhqYRAghNivrug8WTxiw/bGonDpCqHbCb4l7JrZyR31ZrprTSk3XPxAGg9isxD2Tqr6/abMfBq2iKOJyS1dlh0wSVzXiLakrSkcIEchKvIViynoIoUZqGd/tHarcRSQz+5hL6+vr60VFRQXbslAoKysjhDIyMrhnU5WWlg4YMECAXairq6urq7e/vpaWVutbU4EugtwUAACAwHz//p3BaJTQFNjGQzU5X2tyk9QmreIkpgghcXVjeetppe+CWroFSxBTn7YBcUa/MFgpfeua7C8NlEKCjEorHTVSy3Pv/9nSVTFlXb7clF6ShRDCS5B5C0Xl1BBCzNpqvts7VLmLJLQsGIzG5ORkvlfYfZSdnR0Gg/n8+TMnN2WxWC9evFizZo2w4wLdCHJTAAAAAlNYWIgQIsiqtlmznegl2QghorIebyFRzbCVW0Sk5LEi/w4Z4iVICCEmvY2Te4jK+sP+Tm/pKgYv0qSEgBBi1FTyFrIa6hBCOHFSVyp3EScFLyws7B+5qYaGxuTJk318fAYPHmxgYLBnzx4qlTp9+nRhxwW6EeSmAAAABIZzeCOOIC6oBhm1VQghzpqnf7Ga2UqdC0to9tDLtqYhYjAt3Ng8zi4E9NJs3kJGDQUhJCIl15XKXYQTlUAItXLwZp9z9epVJycnS0tLLBYrIyNz7dq1luabgv4BclMAAAAC889KlP+vJuk6zqt8amqszEBHbmFNjuCP4WmsKsl7cLSlq4p27hJa/5njKKakizCY+tL/7MRek5uEEGq6tqlDlbsKg0Hcf4i+5v79+/X19bNmzeItJJFI0dHR2dnZZWVlnAy1lcpdx2KxuF0AoYDcFAAAQO8lrmaMweIrk15roi2cEnppdlVS22ubOopRW1385npLV6WNhvPlpgSykrShTfWP9/SSbDFFLYQQm8koex9CkFGW1OJfqdOhyj+zvXv3lpeXN5tuNl2B1ErlTvjx48dff/11//79qqqqESNGrFu3buzYsS1VZrFYlpaWDAaDt1BbW/vRo0cCCeYnB7kpAACA3osgo6zi+GvB0zNpF9bKD51aV5xZFBHQHR0RVfRtzmR16Ba1yV7JR+f/OO2pPmU1Tpxc8PgvemmOyZrLnJHL4ldXM69uUXdepz51XZuVAceqVavq6uq6o3Lr6urqpk6dmp+fP2fOHDk5ueDgYGdn5ydPnowaNarZ+nl5eYmJiRYWFrKystxC3s9BV0BuCgAAoFfTnLEFJ04qDD9XGn0HLymjYOOCE5fOCz2CIwp5a0mymb3+0uPpAb+n/LUUIYQXl9Z238HdXR8hxGYxufNc26wMEEILFizopsqt27p1a0pKSlhYmJOTE0JozZo1AwcOXLhwYUZGRrP109LSEEKBgYH9Y8FZbwO5KQAAgF4Ng8WrT1mjPmUNo7YKL05CCGVe2yYqr8HNTS18wriVeT/n0Jj2u8a031u62kXyQ6fJDZlMy0pELJakriUGi+NeUrKfp2Q/r52VfyqJiYk7d+6Mi4sbMGCAi4uLmpramTNnTp8+LScnt3r1aiqVeunSJYTQ0qVLRUVFt2zZ8vvvv799+xaPx9vb2584cUJCQoLTDm/lLgoICBgwYAAnMUUIKSkpTZgw4cqVKzExMcOGDWtaPzU1FYPBGBq2tl8E6DTITQEAAPRerAZ60sGZknpW2u47OYkpq7628lukhIaZsEP7BwaLl9Id3B2V+6XXr187OTmJi4tPnDgRh8OtWrVKXV09OTn58OHDcnJy7969Ky8v59SMj48vKyu7d++ejo6Ou7t7TEzMpUuXqqqqgoODORV4K3dFWVkZhUJZtGgRbyEn7/z48WOzuWlaWpqmpiaNRnvx4kVxcbGJicmwYcNwuJ/0jw2Bg9wUAABA74UliOElyUUvLjLrqmUGjmPUVJVE3WqgFOktbHGffNBrsVis1atXi4qKfvz4kbOwacOGDUOGDGmpflZW1ubNm/38/DAYDIvFsra2fvHiRZu9lJWVnTp1qqWrrq6uZmb/+cMmJSUFIaSi8p+jGYyMjBBCJSUlzTaSlpZWXV2tra1dW1vLKbGysgoMDDQxMWkzPNAmyE0BAAD0agbLTuU9Ol717XXJ29s4griEloXx6svShjbCjgt0WFxcXEJCgre3N3fFvYWFhZubW2BgYLP1iUTizp07OQfcY7HYESNGfP78OS8vr/UjRktLS3fs2NHSVUNDQ77clDN5lG8lEyfCysr/HJfAewuVSvX19Z0+fXppaenly5cvXLgwbdq0uLg47pQD0GmQmwIAAOjVcEQprRlb0YytzDoqTkwCYWDvyb4qPT0d/X9IkosvU+SlqKgoJvbvgQgyMjIIIRqN1novxsbG3OHMpggEAl+JqKgoQqiiooK3kHOKBKfHpgICAkRFRc3NzRFCBgYGtra2JBLp4MGDd+/e9fDwaD080CbITQEAAPQNQl+YD7qIQqEghOTk/nMUFpPZ4ilfRCKxaWGbxwpgMJhmb2yJsrIyQohvST4nVVVQUGj2FisrK76SSZMmHTx48OtXwZ8K8ROC3BQAAABAlMQIJp0qP3SasAPpz7S1tRFCb9++dXZ25hbGxcUJtpeioqI9e/a0dHXx4sV8maWhoSEGg+HLTRMSEhBCzS6Eys3N/fDhg7W1taamJreQc7uiomIXgwcIclMAAAAAIVTw5BS9JKtX5aZxf4yQNrbVW3BQ2IEIjLm5OR6PDw8P379/P6ckIyPj+fPngu2lsrLy/PnzLV21t7fny01VVVVHjRr1+vXr9PR0PT09hFBjY+P169fV1NSajo8ihCoqKmbMmLFs2bIzZ85wC2/duoUQsrOzE9hj/MRg1g4AAADQ65S+vU0vyRJ2FAKmpqa2Zs2az58/L1y48PHjx8ePH+duKSpAxsbG9S1r9ozTLVu2NDY2zpo16+7duy9fvnR2ds7IyDh37hxnGdbZs2fxePzu3bs5lQcMGDB8+PBz585t2bLl48ePHz58WL169bNnz1xdXYcOHSrwx/kJwbgpAAAA0Fs0UApzQw/XZMbX5CYJO5ZusX//fjKZfPTo0aLpyFQAACAASURBVMuXL8vJyc2dO5dMJu/evVtaWlqIUY0fPz4wMHDJkiWurq4IITKZfPjwYW7ezGazmUwmd54rBoO5d+/ekiVL/Pz8/Pz8OIXLly8/dOiQUILvfyA3BQAAIDSsxvr8sBNl7+7WUwpEZdVIJiO1ZvngxCS5FapT3pXHPqhMes1qoEsbDJU2Gq44ag7nRKX0yxvZjAZ153X5YScrv0YSlXQURrorDHctfHa29P3dhooCCa0BOnP2iCnpcJr6cfo3CQ1TaSPbwufnq76/FZGWV7CdoTZxebML/xm11Tl3/agpMY20Cin9IYp2c2QG/Hu+aJthdxqTTqMXZeCI0pI6g2iZ8V1vsLfB4/Hbtm3btm0bhULhrIL38vLS1tYmkUgIodjYWG5N3s85du3atWvXrlYqdIW7u/uMGTM+fvzIYrH4NtL39PT09PTkrayoqBgaGpqdnZ2SkkImk01MTKSkYKGewEBuCgAAQGgyr/5RGh0kP9xVWdO8vjS7+PW12rzv5ltCOVerkqO/H3LHEaXkh00XkZKt/PY6I9CbXpqtNXMbQqg251s9pbAq6Q1OnEQyHlEWe78q5V1ZzL2qb6/JA8aIyqlTEp8n/ek22P89J/us+h5Vk52Y//gUyXiEkv28qm+vcoL20Yszm27j30Ap/Lp/eiO1XMF2Bp4oXfk1Mvn4Am237SqOS9sTdlcQVQzMNgcjhOglWXF/jOh6g71KXV3dmDFjbGxsjhw5wklMa2pqnj59OmjQIGGHhhBCeDzexqYD++ZqaWlxN2oFAgS5KQAAAOFgMRpK3wWTB4zVX3yEUyKqoJV1Yzu9OENMSRchVB5zD4PFWe5/hxeXRgipOq2M22xDSQjn5KYIocaqEs3pm9WmrEYIyQ+b9v2oR3VK9KC9Lzm3p11YWxp9h16SxfkSIUQvydZ226kyfilCCE3fmPSnW0nUTeXR8yW0BvAGlh20r74s12LrQ0ldS4SQxrTfvx+dmx3kq2A7Ey9BbjNsLgatoijickuPLztkkriqUUtX+yUikSgrK3vixImqqqopU6ZQKJRLly7l5+e3snQJ/IQgNwUAACAkLCZCqDrlXU3OVwlNc4SQythFSnazMSKinOsq45cpj13MSUwRQmxGA06cxKyr5jaAweJUJy7nfC6uYYYQIhmP4CaIJGPb0ug7tQU/uCV4cWkVxyXcm9Umr65Kjq789oo3N2XUVJbFhEjqDOIkpgghDF5EcdTcqu9vKz6FKY6a02bYXI3U8tz7LZ6tKqas+7Plpgih69ev79u3Lzw8PCAgQEJCYvDgwQ8ePBg1apSw4wK9COSmAAAAhANLIGpM3ZATciBx1wSiigHJ2JY8YCzZ3J4znRQhRFTRZ9AoBU/P0NI/0cty6SWZzDoqgazEbUGErITBi/zTmogoQohAVubpAIsQYjMauQViSroIg+F+SVQzQgjRS7J5o6orSkdsNpNe8+P0b9xCZh0NIUQvzW5P2P+2r6w/7O/0lh6fG/lPhUQiHThw4MCBA1VVVVJSUlis4PcLCgsLq66udnd3F3jLnUaj0SQlBTAd+ScBe0gBAAAQGrUpqy39otWd12IJxKLIwORj8+O3jW6sKuFcLXjy96ffrfIeHGExG8mmdvqLj0jpW/PejhMV52+RJ/VsSoT0n63RcQQi+n9Sy8WgURBCWBECBifC/cBLysjbuBBVDdsTNm8wWIJYSx9Nc9mfColE6o7EFCHk7++/cePG7mi5oz5//jxhwgRZWVkpKSllZWVPT8/q6uq2b/vpwbgpAAAA4WAzGpkNdaLy6hq/bNT4ZWNjVUnew+NFEZcKX1zSdNncSC3PDtonIiVn6RfFXQKf9/B4V3rk2zG0vjwPIURU1uMtFFPQRAiJKeoYLD3xb6gsJpNew8llWw+bt6nGqpK8B0dbCkbRzp1vnivoTz5+/Dhu3Dg8Hj9nzhxZWdlbt26dPXs2Li7u/fv33ZSU9xvw3QEAACAcVclRsV4mZTH3OF+KkBRVnZYjhBi1lYiTOLJZslZO3MS0oaKgNvdbV3qkF2XQizO5X5ZE3UL/n6jKJaaoIyIlV/ntFZvJ4Bbmh52M9TKhZca1GTYvRm118ZvrLX3wzSUA/czJkyfr6uqeP39+8uTJ3bt3p6SkjB07NjY2Njg4WNih9XaQmwIAABAOKX1rEWn5vAdHqlPeMeuoNdmJWTd2IIRkBoxDCBGV9XCiEuUfQikJ4fTizNK3t7/sm4oTk2TW19YVtTiJs3VsNjP55OKKz49rC1LyHhwtfH5BztpZ2vA/Z6Zj8CKarn8w66ip51bVZH+hl2QVPD2T/+AoyXQUZ0ZB62HzIqro25zJaulDztoZ9S90On3Hjh16enqioqIGBgaenp5UKpV7NTIycuXKlYaGhhoaGrNnzz59+jSTyeRcWrp06YIFC9LS0pYsWaKhoTFmzJirV68ihA4fPmxlZaWoqOjk5JSamsptys3Nbd++fdHR0W5ubgoKCmZmZgcOHGCxWM1GVVlZuWLFCnNzc2VlZRcXl7CwsPbH3BXR0dGDBg3i3R5r0aJFCKEPHz4IpP1+DN7pAwAAEA6cmKTB0pNpF9Z885/BKcGKiGq6bJYZMJZzVW/x4fSL65OPL0QI4SXI2u67sKLEtAtrE3zG2JzrzKAjyWQkgayccmoZYrMQQtJGw3Xn+TWtpmg3m9VQl31nb3nsA4QQBotXHDVb08WbM5m19bB/ZitWrLhy5YqHh4elpWV6evq5c+e+fPkSHR2NEHr58qWjoyOJRJozZ468vHx4ePjy5cszMjL8/f0RQvHx8Xl5ec+fPyeTyaNHj75161ZkZOT169fDw8MnTZqkpaX16NGjcePGZWZmct6Gv3jx4tOnT/7+/qNHj162bNmzZ8+8vb1TU1Ob7kWVl5dnZ2dXWlo6f/58Eon09OlTZ2fnQ4cOrV27ts2Yu6KxsXHChAl8R5jm5uYihGRlZbvYeL+H4Z7BBQAAAHTR7du33dzchl/Ib/8trIa6mrzvDeX5eElZcTUjEWl53qsMGqUm56sIWVFcxZCTGjJoFEZtlZiidkdji11jLqk9yGTdVUZtVU1WAoGszF3b1CwmnVaT85VJr5VQNybIqnYobOF696varVu3mj04vkMwGEz726mvr5eSknJycrp//z6n5Pjx42vWrElJSTE0NFy2bNmVK1eKiorIZDJCiE6n6+rqkkik79+/I4Ssra0/fvy4d+/erVu3IoQeP348adIkIpEYHx9vaGiIEFq4cOHly5c5TSGE5OXly8vLDx8+vG7dOoQQi8UaN25cZGRkbGyslZWVg4NDeno6JxGcN2/etWvX3r9/P2zYMIRQQ0ODk5NTVFRUYWGhrKxs6zHzPl1ZWdmpU6daenZXV1czM7OWrnKUlJRYWVkVFxd/+vTJwsKiPd9ShBDnm3/79u121u8fYNwUAACAMGEJRCndwUh3cLNX8ZIyJFM7vhK8pExXesSLk0imbW+oiROTlDZs8ZSg1sP+CXFe0EdGRsbFxVlaWiKEVq1a9euvv4qJiSGE1q9f7+XlxUlMEUINDQ1kMrmqqop7Ow6H4y6uHzhwIEJozJgx3ATRwcHh8uXLSUlJ3BIymcwd+8RisVu2bHn58uWzZ8+srKy4bVZUVFy/ft3a2pqTmCKECATC0qVLIyIi7t69u2TJktZj5lVaWrpjx46Wnt3Q0LD13PThw4e//vpraWnp0aNH25+Y/rQgNwUAAABAV4mLi+/YsWPbtm2DBw82MTEZPXr0pEmTJkyYwDmY3tjYuLy8/NChQ+/evcvKykpNTa2urlZV/Xc0WlVVlUAgcD7npIa8VzmNNDQ0cEsMDAwwPPuFcVLD9PT/TEROSUlhs9k0Gs3NzY1byNnFiVOz9Zh5GRsb19bWtvTs3MibSk9PX7du3YMHD/T19a9duzZuHP+kZNAUrIUCAADwUyCQlESkYKpfN9q6dWtaWpqPj4+4uPjp06enTJliZmZWVFSEEDp48KC6uvqePXsaGxvHjRsXEBAwYsQI3nslJCT4Wmt9oyUVFZWmt/ONd5aXlyOEREVFRXjIycnNnTuXO8zZSsy8MBgMsWVNc1mOq1evDho0KDIy0t/f/+vXr5CYthOMmwIAAPgpDNz9Qtgh9GcNDQ21tbXa2tq7d+/evXt3UVGRr6/vyZMnT5w4sXbtWm9vbwUFhdTUVCkpKU59X1/frnSXlpbG+2VWVhZCyMjoP2fA6urqIoQMDAw4q/45mEwmlUoVFxdvPWa+8IqKivbs2dNSMIsXL+adS8Dx8OHD+fPnDx8+/MaNG5qamp17zJ8TjJsCAAAAoKsiIiJkZGRu3LjB+VJZWZkzf5RCoWRnZ7NYLBcXF25impubGx8f35Xufvz4wbur1KVLlxBCvBs2IYT09fUVFBSePn3a2PjvubV+fn4yMjKcjZxaiZmvu8rKyvMt45tLwLFlyxYSiRQUFASJaUfBuCkAAIC+hJIYwaRT5YdOE3YgqPjVVQa1AiFEVNWXHTzpP9fYLIQR2OhP5bdXNZkJCCEsQUxl/DJBNStYI0aMUFRU3L17t7q6uqWlZVpaGmfocfLkyUZGRpKSkrdu3XJycjI2Nn779q2Pj4+0tDSNRktJSeEb7GwnJpP5yy+/7N2719DQ8O7du8ePH581a5ad3X+WzREIBD8/vyVLlsybN2/z5s3S0tL379/fu3evo6MjZ0ZBKzHzdWdsbFxfX9/+8CgUytevXy0tLQ8dOsR3ycHBYcqUKZ145J8H5KYAAAD6koInp+glWb0hNy18fqG+LJdAViJbjOHkpvTijKKIgIq4p8y6ail9a5Xxy0gmIzvRctwfI6SNbfUWHOR8ScuIK42+01hdhsHhe21uKiUlde3atQULFowePZpTIiYm5uvry8nzLl68uHjx4qlTpyKEZGVljxw5IiEhsWDBAnNzc95BzfYbO3asmprajBkzOFvuOzg4NLvH06+//lpbW7tp0ybONkx4PH7JkiW+vr6cdVStx9wVb9++ZbPZnz9//vz5M98lDAYDuWnrIDcFAAAAOkna0MZk3T9zGVkN9OTjCxsoRfI20/ESMuWfHiUfX2Cy7lorG1E1q/TtbXpJlrSxLbdE3XmtuvPatAtrKAnPBRm9oI0bNy41NTUxMTEnJ0deXt7c3FxRUZFzaebMmWPGjImLi1NRUTE1NeWkhg4ODpy357GxsbztyMrK8m2+7uHh4eHhwVuCx+MDAgKOHDny8eNHNTU1U1NT7qXIyEjeml5eXgsXLoyLi6PRaBYWFhoaGu2MuSumTJkC+8d3GuSmAAAAgADkhOyvK0o3WRtIthiDEFJx/DVhh2PahXWDD7xrz+0NlMLc0MM1mfE1uUndHGk3EhcXt7GxsbFpJh2Xk5PjW6guJycnJyfXle5kZGQcHR3brCYlJTVqVIs72rYSMxAKyE0BAAD0qMxr22pyvxkuP0Mg/TtAlXF5E70s12TNFQxepDrlXXnsg8qk16wGurTBUGmj4Yqj5mCwzWzTk3Z+DZvNMlh6gluSH3aSkvjCbNMdDBaPEGLUVufc9aOmxDTSKqT0hyjazZEZMKabnqs06ra4ugknMUUIiUgrkM3tS6ODaBlxkrqWbd7OpNPoRRk4orSkziBaZpfWCQHQp8E6fQAAAD1KTEmbmvqh4lMYt6Shsrj4zQ28JBmDF6lKjk76063sw32ymYPSqDn1FQUZgd45wc2ceo8QomUn1mQn8pbQizOpqR8Qi40QaqAUJu4aXxodJGU0THGkW31ZbvLxBYXh57rjoRi0CkZtFd8RVkQlPYQQLSuhPS0QVQzMNgebbQ42WPZXd0TYn6ioqMjL96JDYoFgwbgpAACAHiU/bHr2rT3lHx8qj1nIKSmPDUVsluIIN4RQecw9DBZnuf8dXlwaIaTqtDJusw0lIVxr5raOdpQdtK++LNdi60POsKXGtN+/H52bHeSrYDsTL0Hmq8ygVRRFXG6pKdkhk8RVW1tOXleUjhAikJV4C8WU9RBCjdSyjkYOWvflyxdhhwC6EeSmAAAAepSIlBzZYnTll4jG6jIRaXmEUNmH+wQZZbLZKISQyvhlymMXcxJThBCb0YATJzHrqjvaC6OmsiwmRFJnEPd9OgYvojhqbtX3txWfwhRHzeGr30gtz73/Z0utiSnrtp6b0kuyEEJ8Ka+onBpCiFnb4eB/EmFhYdXV1e7u7sIOBJ09e7a0tBQhZGJi4uLi0q19PXv2jLP2i0gkrl+/vlv76qMgNwUAACAwnEMjWYwGLL7FE8YRQgojZlISwivinijZz6svy6VlxKlN8uJsCEpU0WfQKAVPz9DSP9HLcuklmcw6Kt94ZHvUFaUjNptJr/lx+jduIbOOhhCil2Y3rU9U1h/2dzM7qHNg8CKtd4fBExBCjJpK3kJWQx1CCCdO6kjgXcVqoCOEiERiT3baOf7+/unp6b0hNz127FhWVpaqqqqTkxNfbmpgYODg4HDuXCengjS9PSYm5sqVK8XFxSIiIpCbNgvmmwIAABAYzrJrzo70rZAZ6IgXJ5V/fIgQKosNRQgpjpzFuVTw5O9Pv1vlPTjCYjaSTe30Fx+R0rdufwDc7JBBoyCEsCIEDE6E+4GXlJG3cSGqGjZzJwaDJYi19NHsSixenHVdfFkvo4aCEBKR6tJS9I7idNrF9e8/oVGjRqWmph4/fpy3MCAggO9w1A5p9nYfH5/U1NTp06d3utl+D8ZNAQAACIyxsTFCqDb/O0FGuZVqWDxBbujUktc3GDRK+Yf7UvpDxJR0EUKN1PLsoH0iUnKWflE4MUlO5byHx1tqB4MwnK3XuTjzPhFCYgqaCCExRR3eVfxsFpNJr8ERmhlTbKwqyXtwtKWOFO3cJbQGtPJEYkq6CIOpL83hLeTsBtWeRfoCVJufjP7/DwE6Jy8vb9euXbGxsQkJ7VrHJtjbAYybAgAAEBg5OTkdfYOq5Og2ayqMmMVmMfIf/1WT842zCgohVF+eh9gsWSsnbmLaUFFQm/utpUZE5dXry3PZTAbny9qCFHpJJudzMUUdESm5ym+vuFcRQvlhJ2O9TGiZcU2bYtRWF7+53tIHvaSZaQC8CGQlaUOb6h/vuTXZTEbZ+xCCjLJkq0mtwFV9f6urbyArK9sDfXl5ednZ2RUWFvIWLlu2bPz48Q0NDZwvIyMjV65caWhoqKGhMXv27NOnTzOZzKZNzZ8/f968ebwl+/fvt7OzYzD+/eerrKxcsWKFubm5srKyi4tLWFhYk2YEg0ql/vjxg0QiWVt3YMxeULcDGDcFAAAgSNOnOp+9fhe5bkEYTCvVpHQHiynpFj47iyUQ5aydOYVEZT2cqET5h1AZizFEZX1qWmxOiD9OTJJZX1tXlE5U1uNrRFJ3MCXxRdqFtUr2c+nFmfmP/8IRpRm0CoQQBi+i6fpHesDvqedWqTmtxBGlKuKe5j84SjId1ewkAaKKvs2ZrK48uNpkr+Sj83+c9lSfshonTi54/Be9NMdkzWXO96Hw2bnsO3vUndepT13XlV7awGZVxz+ePde1G7vgoa+vf/Lkybt3765cuZJTUlBQcOHChZkzZxIIBITQy5cvHR0dSSTSnDlz5OXlw8PDly9fnpGR4e/vz9fUp0+f+IbAU1NTo6KiuIV5eXl2dnalpaXz588nkUhPnz51dnY+dOjQ2rVrBf5cJiYmr169QgilpaUZGBj08O0AclMAAACCtHjx4sOHD1O+vGxzl3sF2xm5If7yVpNwRClOCU5MUm/x4fSL65OPL0QI4SXI2u67sKLEtAtrE3zG2JzjH7xUneBJTf9UFhNSFhNCkFFWGD4DIZQfdpJzVdFuNquhLvvO3vLYBwghDBavOGq2pot360lzp5HN7PWXHk8P+D3lr6UIIby4tLb7Du5W/Gw2i81iItS951hSvkTSirIWLVrUrb1wzZkz5/fffw8KCuLmprdv32axWNwAbty4gcfj09PTyWQyQmjz5s26uroPHjxompu2ydvbOysr6/3798OGDUMI7dq1y8nJafPmzfPnz+cbJC4rKzt16lRL7bi6upqZmXW0d9CTIDcFAAAgSGZmZpOnOL+560s2H8U5nKkl6lPWqE9Zw1coN2QKyXhETc5XEbKiuIohJ48kGdkyaqv+aX9TELcylkA0WRvYSC1voBRJaJhyKmu6/sGtoDx2scKIWTU5X5n0Wgl1Y4KsqqAes1nyQ6fJDZlMy0pELJakriXvCirVCZ7sxnpRBc02GxFT1B5+Ib8TvbNZjIK7vpOmOPdY7qWgoODk5BQWFlZSUsI5hv7mzZtqamrcc0TXr1/v5eXFSUwRQg0NDWQyuaqqqqMdVVRUXL9+3drampOYIoQIBMLSpUsjIiLu3r27ZMkS3sqlpaU7duxoqSlDQ0PITXs5yE0BAAAI2LGjR0zNzIsjA5XHdGYADy8pw3fAEl5SBi8p01J9ESm5VtbC48QkpQ177qh0DBYvpTu4aTm9JKsk6iZvYi1wxS+v1BZlHHl+X1AN4vH4ZueG8lqwYMGDBw9CQkI8PT2zsrJiYmL++OMPLPaf1SzGxsbl5eWHDh169+5dVlZWampqdXW1qmqH/0JISUlhs9k0Gs3NzY1bWF1djRBKT+ff+cvY2Li2tralpjiTDfoKBoMhKioq7Ch6GqyFAgAAIGB6enrr160tuHewrrDz++/0CTW533787Vn4rO3NL+klWcarAzo3cFsSdevH357VKe9bqVNXmFZw/8/fN6w3NGxuh6xOIZFIbY5xTpkyRUZGJigoCCF069YthNDChQu5Vw8ePKiurr5nz57GxsZx48YFBASMGDGinb1XVPy7E1l5eTlCSFRUVISHnJzc3Llzmw6CYjAYYstwuDa2A+tVqqqquKPOPw8YNwUAACB4O3bsiHj56ttxD5MtD3t4g88eQzazb6goQGx2e2aRks0dutAVG7HZktoDsWISzV5m1FSm/bXI1MjAx8enC73w09HR+fHjR+t1REVF3dzczp8/X15efvPmTVtbW25yXFpa6u3traCgkJqaKiX1z5RiX1/fZtvBYPi3A0tJSeF+rqurixAyMDC4evUqt5DJZFKpVHFxcb6mioqK9uzZ01LAixcvtrKyav2heo+UlJSJEycKO4qeBrkpAAAAwRMTE3sQes/Kemja30sMva5wVzv1J9ruO3umI8WR7oojWzw8iVlHTT25iCzCfPL4UdNErSsGDx78/n1rg7UcCxYsOH369IEDB+Lj43kPQMrOzmaxWC4uLtzENDc3Nz4+XkmpmVO+tLW1w8PDGxsbRUREEELfvn3j3bVeX19fQUHh6dOn3AoIIT8/Px8fnzdv3owcOZK3qcrKyvPnz7cUrb29fV/JTfPy8vLz8y0te3R/3N4A3ukDAADoFoqKik/CHhEqc5MP/FJflivscPqn+rLc7wd+EanKfRL2iLMaSYAmTJjw4cOH4uLi1qvZ2NgYGhoePnxYXFx81qxZ3HIjIyNJSclbt249ePAgNTU1ICDA1tZWWlqaRqPxjolyDBs2rKGhYeHChZGRkefPn//ll19IpH/PeiUQCH5+ftXV1fPmzfv8+XNaWtqhQ4f27t3r6OjYdJKAsbFxfct4I+y0I0eO4PH43bt3d72pVoSGhkpISNjZ2bVdtX+B3BQAAEB3MTMz+xgboykjmrRvCiUxQtjh9DeUxIikfVO0ZEQ/xcZ0x9pzJycnaWnpixcvtlnTw8ODyWS6uLhIS0tzC6WkpC5evNjQ0DB16lRDQ8MNGzb4+vqeO3eOyWSam5vztbBhwwYnJ6fr16+PHj16586dM2bM4Ft9/+uvvx4/fjw0NNTKysrAwMDb23vRokU3b97EdM+OYK1jsVhMJpPN7t4dwc6fP+/q6voTroXCdPd3FgAAwE+ORqMtWbrs1s0b8oMcNWbtEFPSEXZEfR69ODP39q6y+HA399nnz52VlJTspo68vb0vXryYkpIiI9PiPgmtKy8vj4uLU1FRMTU15eSR5eXlFApFX1+/aeXS0tL8/PyBAwe2lHFSqdS4uDgajWZhYaGhodG5kJoyMzPT1NR8/Phx+2/x9fXV1dWdPXt253pcsGDBw4cPOWu8mhUSEuLq6hoTE/MTHi4FuSkAAICeEBkZuWKV14+UFBnLCfI2riRTO2xz59qDVrAa6qqS3pS9D6bEPTU0Mjp18oSDg0O39kilUo2MjGbNmnX06NFu7Ui4OpqbpqWlTZgwITIystP5ceu5aX19vYWFhY2NzZUrVzrXfp8GuSkAAIAewmAwbt68+dffZ2LeR2OwOClVPTxJGYl215hfv1JPY1QWUgsz2CzmMBvbVSt+c3Nzw+N7YkHzhQsXfvvtt5iYmMGDm9m3tX8wMzOrqKiws7MbPnz4unVtHyr79OlTDQ0NU1PTTvR16dKlx48ff/jwgUqltpSb+vj4HD16NCUlpRN7wfYDsE4fAABAD8Hj8fPmzZs3b15xcXFkZGRCQkJxcTGVShV2XH2AlJSiktLwgQMHOjg4NLvOvftwpnVOmzYtJiamv6ZK48ePz83NZbFY7RywmzBhQqf7YrPZLBZryJAh3O0L+AQFBe3bt++vv/7qr9/tNsG4KQAAAPC/9u47rMmzawD4yU4gCWGFKcgSENwDcFertb5FW0ddHWqr1tfW9WrVVmv9arW1dRar1mpddSuKu1ZURJYiQ0FA9p4JCVlkfn/EphhZgUAAz+/yD7mf89zPCbSXh/u5B2pMdXV1UFAQk8m8e/euuXn9e6wio3j48OGoUaO0C79MnYvJYG2KEEIIoSZkZWUFBQW5urpeunTptR3Pa2vXr1+fMWPGsGHDwsLCOtf5VcaFe0ghhBBCqAkeHh7R0dEikSggIODx48emTqer0Wg0u3fvDg4Onjx5cmho6OtcmALWpgghhBBqDm156uvrGxAQsHTpUj6fb+qMuojExMRRke+heQAAIABJREFUo0YtX75806ZNf/zxB5VKNXVGJoa1KUIIIYSahcPh3LhxY9++fadOnfL29t6yZUtpaampk+rEHj16NHfu3IEDByqVyri4uDVr1pg6ow4B55sihBBCyDACgWDLli0HDhyorq4ePHhwUFCQl5eXpaXla/4yujmkUmllZeXTp0/v3LmTm5vr7++/evXq2bNnm+SAq44Ja1OEEEIItYRUKr1x48bNmzfj4+NzcnKqq6tVKpWpk+ro6HS6paWln59fYGBgcHDw4MGDTZ1Rh4O1KUIIIYRM7+TJkx988EFkZGRQUJCpc6kHj8fz9vb++OOPf/75Z1Pn0sVhbYoQQgghExMKhb6+vsHBwfv27TN1Lg3av3//559/Hh8f37t3b1Pn0pVhbYoQQgghE/viiy9OnjyZlpZmY2Nj6lwapFarhw4dSiaTIyIicHpo28F1+gghhBAypfj4+L17927fvr0jF6YAQCQSQ0JCoqOj//zzT1Pn0pXhuClCCCGETEatVg8ZMoRKpd67d69TDEYuWrQoNDQ0LS2Nw+GYOpeuCcdNEUIIIWQye/fuTUhI2LdvX6coTAFg8+bNarX622+/NXUiXRaOmyKEEELINMrKynx8fBYtWrR582ZT52KAgwcPLly48NGjR3379jV1Ll0Q1qYIIYQQMo3Zs2dHRkampqaam5ubOhcDaDSaoUOHEgiEyMjIzjLc24ngO32EEEIImcC9e/dOnjwZEhLSuQpTACAQCPv374+Lizty5Iipc+mCcNwUIYQQQu1NLpf37dvX29s7NDTU1Lm0kHbfq/T0dGtra1Pn0qXguClCCCGE2tuPP/6Yl5e3Y8cOUyfSct9//z2VSt2wYYOpE+lqsDZFCCGEULvKy8v74Ycfvv322+7du5s6l5Zjs9lbtmzZu3dvXFycqXPpUvCdPkIIIYTa1TvvvJObm5uQkEChUEydS6toNJrRo0eLRKLY2FgiEcf7jAO/jwghhBBqP+fOnbt27VpISEhnL0wBgEAghISEJCUlHTp0yNS5dB04booQQgihdlJTU9OzZ89x48YdPHjQ1LkYzfLly48ePZqent7Bz1ztLLA2RQghhFA7WbFixZEjR9LS0mxtbU2di9HU1NT4+PgEBwfv27fP1Ll0BfhOHyGEEELt4cmTJyEhIVu3bu1KhSkAsFisrVu3HjhwICYmxtS5dAU4booQQgihNqdWq4cPH65UKqOjo7vksqExY8YIBILY2FgSiWTqXDq3LvgfB0IIIYQ6mt9//z0uLm7//v1dsjAFgF9++SU5OfnAgQOmTqTTw3FThBBCCLWtqqoqHx+fOXPm/PTTT6bOpQ2tWrXq4MGD6enpXWzSQjvD2hQhhBBCbWvOnDnh4eGpqalMJtPUubQhkUjk4+Mzfvz433//3dS5dGJdc1wdIYQQQh1EZGTk0aNHd+3a1bULUwBgMpnbtm07dOhQdHS0qXPpxHDcFCGEEEJtRalUDhgwwNHR8fr166bOpZ28/fbbRUVFjx8/JpPJps6lU8JxU4QQQgi1lW3btj1//nzPnj2mTqT97N69OyMjA/c6bTEcN0UIIYRQm8jPz/fz81u7du1XX31l6lza1dq1a3/99de0tDQHBwdT59L5YG2KEEIIoTYxadKktLS05ORkGo1m6lzalUQi8fPzGzly5OHDh02dS+eD7/QRQgghZHyXLl0KCwvbu3fv61aYAoCZmdm2bduOHj169+5dU+fS+eC4KUIIIYSMTCKR+Pv7Dxs27OjRo6bOxWT+85//5OXlJSQkUCgUU+fSmeC4KUIIIYSMbOPGjTwe78cffzR1Iqa0a9eurKys12odmFFgbYoQQgghY0pJSdmxY8cPP/zwmq8E8vT0XLly5TfffFNcXGzqXDoTfKePEEIIIaPRaDRjxoypqamJiYkhkUimTsfEpFKpn5/fkCFDjh8/bupcOg0cN0UIIYSQ0Rw+fDgiImL//v1YmAIAg8HYuXPnn3/+GR4ebupcOg0cN0UIIYRQC23atGnIkCGjR4/Wfsnj8Xx8fGbOnLlr1y7TJtahBAcHZ2dnJyYmahdFqdXqQ4cOEQiETz75xNSpdUQ4booQQgihFjp06NCYMWNmzZpVWloKAKtXryaRSBs3bjR1Xh1LSEhIbm6utl5//PjxoEGD5s+f//oc4mooHDdFCCGEUEvweDwbGxuNRkOhUGg02qJFi7Zt23by5Mn333/f1Kl1OBs3bvzpp5+mTJly/PhxEomkUCgcHBxwjVS9cNwUIYQQQi0RGxurHeFSKBQikWjbtm0cDsfV1dXUeXU4Go3G2dlZoVCcOHFCrVYrFAoAKCkpKSsrM3VqHRHWpgghhBBqidjYWCqVqvtSrVYLhcKgoKAPP/yQx+OZMLEOJSkpKSgoaP78+QqFQqlU1r306NEjU2XVkWFtihBCCKGWiIqK0g4B6iiVSo1Gc+rUKW9v71OnTpkqsQ5CKpUuXbq0f//+8fHxGo1GbxYllUp9+PChqXLryLA2RQghhJDBNBpNTExMvatWNBqNQCCQSCTtn1WHQqfT7e3tNRqNWq1+9apCoYiOjm7/rDo+XAuFEEIIIYOlpaX5+vq+2k6hUJhMZmho6MiRI9s/qw7o2rVr06ZNk8vlei/0AYDNZldXVxMIBJMk1mHhuClCCCGEDBYbG0sk6lcRZDLZx8cnISEBC1OdCRMmxMTE2Nvbazc3rUsoFObm5poiqQ4Na1OEEEIIGSw2NpZMJtdtIRKJkydPjomJwaX6enr16pWYmBgQEKB3VhaRSIyLizNVVh0W1qYIIYQQMlhERIRcLtf+nUgkEonEzZs3nz592szMzLSJdUzW1tZ37txZuHBh3UYymYzLoV6F800RQgghZBiJRMJms1UqFQCQyWQqlXry5MmJEyeaOq9O4Lffflu0aBEAaBdIBQUFRUVFmTqpjgVrU4QQQggZJiIiQjujlEKhODk5Xbt2rd51Uahef/3115QpU2praxUKBY1GE4lEerMjXnP4Th8hhBBChtHOkiQSiWPGjElMTMTC1CDjxo17+PChk5MTgUCora199uyZqTPqWHDcFCGEEGoTtbW1KSkp5eXlNTU1ps7FyH7++ee4uLh333135syZxtoCicVi2dnZ9ezZk0ajGaVDI9JoNDk5OTk5OXw+31iFk/aU15SUlEWLFr3xxhtG6bODoNFolpaWfn5+VlZWLbgda1OEEELImPh8/tGjR0PPn30QFaNUqUydTidDJpGGDgl8b8q0jz76yNLS0rTJqFSqq1evnjhx8vqNm0IB37TJdEZunl6TJ02cO3eun59f8+/C2hQhhBAyDolEsnXr1p+2/kjUqMd7c0Z5WvRyNLdnUZk0UtM3dx4SuTqrStrLwdy43YpqVaU18ifF4ruZghvp1WoCcdWXq7/88ktTLfwPCwtbunxFXk62pe8Qdq+xTM8BDG53sjkHCEaeDynMiGX3CDBun6alVsqVNTxJ0TNBWpQw4bqoNOed4Ik7tm/z9PRszu1YmyKEEEJGEBoaumzJ5/yqyqXDHT4caNfF6tF2JqpVHXtUtut+CcfKZtcvIe+99157Pj0zM3PRfxff/vuWbcC7TpNW0rnd2/PpXY1GU/30TuH572VlOf9bsXzDhg10Or3xO7A2RQghhFpFo9F8/fXXP/zww/v9uGvHdLNl6h//g1qmQqTYcrvgTEL5mjVrvv/++/Y52/P27duTp0wDjpPLzO9YXoPb4YmvA41aWXb3WPHFn/r497wcdpHL5TYSjLUpQggh1HJSqfTDD2ZfDgvbGuw2ra+tqdPpgs4mVnx5OSd44sRjx/9kMBht+qwDBw7897+LrQb+x23OdiKlwy3J6uykJZmZIXM4VPWNa1cbmYGKtSlCCCHUQmq1+v1pU8NvXjs43TPAlW3qdLqs2DzhJ6czR7814czZc0RiW21/efLkydmzZzsFL+82cQW0yxjta0gp4j//dR6luiD+YWy3bt3qjcH9TRFCCKEWWrduXdilsN+meWBh2qYCXNmHZnhduRy2fv36NnrEo0eP5n7yqeO4Bd0m/Q8L07ZDZlr2WHKslsqZ8E6wSCSqNwbHTRFCCKGWuHDhwtSpU3e869EOr/JvpvHkSk2wv7URIw2l1gCx2TWbQcHNdDaxYvnFrHPnzk2ePNm4PVdVVXn7+hGce3stPmT0Zfh6eAk3NUq59aBgowcbQKM27GMaGt+U2sqC1M3vTHp77KmTJ169irUpQgghZDCJROLr7RXEVW2f5N4Oj5uw/wlfqohe1t+Ikc2UXSU7HFd6M40nlKkGubAWBDkMc7cwSnALrLiUHVVGSst4btyNpf67ePGRk+f9v7tHYrCM2G29nnw3QSHi9/8x2ujBTZKVZZeGH+Yl3FRJhSzPQQ7jFlj4DjNivEH4yeFpuz68c+fOqFGj9C6Rvv32W2M9BiGEEHpNbNq0KfzWX4eme5m3y15RVDKxnxOrjxPTiJHNIVOop/yREpMrfNvXKtCVHZcvPPaoLMCV7cypZ52QQcEtM6Abc29EjhqIrxY0LZaSkjL/0/kuMzcx3fsZq89GEClUlns/Zvc+Rg9unFouS9k6RZgeY9X/bXaPQOHzuLJ7x9g9AmjWzkaJNxTDzk2a/yQ87NRnCxfqzSHGcVOEEELIMHw+39nJccVwu0VDHU2dS9v69kbugeiSYx/4jvbiAECFSDF2bxKDQqx3XNag4Bbb+6B4+/2ywqJiY50aFTxx0v3Ugp5rL3ftaaa5p78t+euA77JjnF6jAUAhrEjaMJZIZTQ0KGtofAvIynKSv3nj8B+HPvjgg7rtuBYKIYQQMszRo0eJGvWHA+2M2OezMsmnp9IDdzyeeyLtbGLF/WzBgtMZfIlSe3X9tZzlFzO1f18VlvX11ZyyGvnic88Hb388ZGfCiotZErn61cjWO5NY4Wtnpq01AcCWSRnpycnn1yYU1rOKxaDgFvtwoB1Roz527JhReissLLx27arduM+MW5hKCp+l7/n08erAtF/mVkSdFaTez9i7QCniA0DOifWZh5Zrw7KOrMr582t5ddnz3xY/XjU4Yc2QrD9WqGslun7qBrdSReQZM2dfbaEJABS2Lcd/ZG1lvig7wSjxLUC3c7PqN37P3v167VibIoQQQoYJPX9uvDfHiCc/xeQJgw88ic0TDnZlWzDIX1/NWXc152pqlVTxouKMLxDF5Aq1f08pkdzO4E/47UmxoHZSL2tHC+rphPKlF56/GtlKPIlSIFUO93hpwqiHNQMAkor1y02DgluDSSON9+ZcOHfGKL1dunSJTDOz6vuWUXrTEmbEPPk+WJgRy/YaTDazyDn+dc6JdVWPrqrlUgAQZcUL02O0kZL8FH7y7SebJtTyiq0DJlGtHMsjTz//famuq7rBraEU8ZQSgUXP4XUbGXYeACDKTWp9fItZB06OjYkqKyur20g24gMQQgihLk8mk0VFx+yY5GasDtUaWH8tl0omXl/YWzs187MhkvH7kxu5paC6dvEwp7VvuhAIoNbAhP3J93METT6IJ1EeiStt6OqEnlbe3JcWGGVVSgHAjkmt2+hhQweASrFC73aDgltppKfFikuxtbW1NFprZ7LeDr/D9hlCIBvvKC+NOvfEeiKZ2vub69qpmZK3Pkv+bnxD4bWVBU5vL3aZshYIBNCok7+bIHh2v8mHKEW80vAjDV21GjjBzNG7bou0NAsAqJyXRvrp9h4AoKipfLUHQ+NbzKLncAKRdPfu3enTp+sasTZFCCGEDPDs2TOFUunvYG6sDp+WiFNLxZ8Pd9KtGfKxM5vkb3MuqaKhW+gU4v/ecNa+hSYSYJAL60mJuEQod2BTG7oFAKrEip/vFDR01d2arleb5vJkAMBhvFQqOFnQAEAoU+ndblBwK/VyMFcolWlpaX36tHaRUEJiEqPXJKNkpSXOfyouSHWa8LluzZCZs4/NoEkV0efqjSdS6c66HVUJRJbnIHHeEzm/hGrp0MhTFDVVBZd+bugq3d5drzaVlecCANmcU7eRZu0EACpJPaPshsa3GJHKYDl6PHnyBGtThBBCqIVKSkoAwNGisSrQIHk8Gfzz+lunB7exwzltzCk08r+z8iwYZAAQy5soAT1tGFnrAhq6SiHpT7ikkggAUC1V1m3UTjOwoOvPZzAouJW0JXhJSUnra9Oy0hLHkcZc0CYrzwMAhr1H3UaGU4+G4iksm7qHo5LNLQBAJRM3/hSGvWfA3qyGrr46DEwgUwFAKa6u26idY0Ayq2eTL0PjW4PMcdD+P/Vvi3EfgBBCCHVtYrEYAMwoRqu3BDIlAFiavfQvskrd2C10cj3LRZrcd4dAADrFgHUmXBYVAPL4srqNfKkSAKzN9asfg4JbyZxKAoCamprWdyWTSkhUY26VqpQIAIDMfHkPAXWDvzYQqfT6mpv+WTZwY/2oFlwAkFXk1W1UivkAQGHVc0yDofGtQjXTOyAKa1OEEELIANq9F424qlv7Kv9hfs1Y738LmqclTYyctUC5SLHzXmFDV2f04/Z2fGmigrs1nUCAfH5t3cbUUjEA9HPW3z/VoOBW0n7zjbIJpkajMe4Kfe2r/JrnDy37jNU1ivOfGvERAKAQlBde3tnQVe7wGeauveu20O3cgUCorciv2yguSAWAend1NTS+dfT3M8XaFCGEEDIlH64ZmUiIyKr+aqyLtiWPL7uf3fTaJkMJZcoT8WUNXQ1yZevVpnYsaqArOyZPmMeTuVrRAUCp0oQmV9qzqb0d9MtNg4K7MDMnHwKRXJ0a4QJfaVtkFXmC1KaXNxlEKRGW3a/ntE8ttneQXm1K5dixewQKM2Jk5Xl0risAaFTKyphQqqU98+XIlsUbF9amCCGEkCnZs6mfBDrsjypeFpo50d8mp0p6uOHV9K3hacPI/SbQoFu+GOH00fG0hWcylox05tBJeyKL8/myI7N9tUONxx+VfXU1Z/lI5+WjnJsMfk1QLe0dxn5SfHN/5sFlNoMnSstySsMPG/0pDAfPwP25Bt3i9J8v0nZ+lLFvofM7S0hmnOLre2QV+b5Lj2iHjcvuHc85/pVz8HLnicubE9+msDZFCCGETOyrsS4WdNKBmJKziRWWZuTJvW3ZdNKOu4WsdjkQtREjPTi7J3uuDMuafyodANh08obx3XW76wOASv3v69gmg18TLlO/IplZlNw6UBF1lsy0tA2cTDJjF4btIDFYJsyK4zfSc/7urMMr0/fMBwCyGbv7jA26rfUBQKNW1Z3n2mR828EzSxFCCCEDnDlzZvr06UUbg9qic4FUqV10v+5azt/p/Jjlxjzts8WUak1ysUitgX5OTBKxiWEzg4JbzGlD9OnTp99///1W9kMgEHp8ts96ULBRstKjlAjIZhYAkPPnOn7y3/1/NMIu+q2kUStFucmgVjPd+xGITf/mY2h8C2TsXTjajXHmzL+HKeC4KUIIIWRKMoV62uHUAd2Y347vri1MJXL13cxqP3ujbaHaSmQiob9zc8f8DAruetRyWepP05geA7rP+FZbmKprJdUpd827+Zk6NQAAApHMcjfgFx5D440Ca1OEEELIlOgUIodBPhRbKpSp3vS2FEiVpxPKS4Xynyd5NH0z6mCIVDqZySm9fUglFVr2eVMpFpRHnpbzSz3mNLhVPtKDtSlCCCFkYr9O9dp9vzAiS3AmsdyMQurlYH5ktk+gK9vUeaGW8Frwa+HV3YKUiPIHZ0hUM3PXXj5LjrB7GLYK7XWGtSlCCCFkYiw66euxrl+PhRqZypzWdrM0UXsgMViuU7+GqV+rpDUkujkQDDjvAAHWpgghhFDHwTL28Z7IhEy7ML/zwloeIYQQei2EP+dfelJp6iyQEfCTwyvjLpk6i7aCtSlCCCH0Wvg1svi7v/KajmtHQ3clrArLMnUWnU/xjV/zznxn6ixekrB2aNaRVUbpCmtThBBCCJnAmYSKXJ7M1FkgI6h4cEZWnmus3nC+KUIIIYTaT4lQvv1uQWKROLVUbOpcUKvI+SUFYdvFOYniglQjdou1KUIIIdSGapXqX+4XXUiqLBbWOlnQhrlbrB/nyqxzGGl0rvBySlVEVrVMoR7syg5yZc8awNWu1V8VliVXaZaPdA65X3Q3s9rNmjGjn+2UPra/RZVcSK4oFsp7O5h/N8HNzZqu7eqzsxk97cyHuLF/jyl5kC2wMadM7Wu7aKhTvQv/hTLllr/zY/NqeBLFwG6sWQO4o70sm592i4lqVdmVMjaN1NeJmVgkan2H7UmtqC269ktl9IVafjHNysnCd5jr++tJdKb2qjA9uurh5erUCLVcxvYazPYO4o6YpT1OKevIKo1S7hy8vOhaSPXTuww7N9thM2yDppT89VtFzAU5r9jctbfbrO/odm7arjL2fWberSfbe0jJ378Lnj2gsG1sh0x1Gr+o3lX/Sokw/8KWmvRYhYjH8hzIHT7LsvfoZubcGiqZSFaaTWKwmW59RTmJre9QC2tThBBCqA2tvZJzLqliSh8bf3v7PH7tn/Flz8okYZ/6a69G5QhmHH3GopHe621jZUaJyKpecyU7jy9bN84VAFJKJCXC2vtZAgs6aaibxaWnldG5gotPKiOyBKO9OM4c2t8Z/OlHUmOW99dWn5HZguRi8a8PioZ2t/hgoN29TMHmW/k5VbJXt/EvEcrfO/i0SqKY2seWTSffzaz++M+0b97qPj/IoTlpt4aXLeP8PD8AyOXJhu5KaH2H7Snn+NqKqHM2QVPsXfxrK/LKIv6UFD7z/yoMAARpUc+2zSAxWDYB71FYVtUpEdnH1sgq8lynrQMASX5KLb9EkHqfZGZh4TO08uElQXp0ZexFQUoEp/domrUzP/nv1J+n998ao60+Bc8ixXnJRdd/tfAZajfyA0HKvfxzm2VlOa/u4S/nlzz94T1FTZXtkKlkBrv66d203R93n/6Nw9j5TebcSgwHL7/V5wFAVp6bsHZo6zvUwtoUIYQQaitypfp8csUYL86Odz21La6WtG+u52ZXydyt6QBw8UkViUiIXtaPTScDwOJhjoE7E26l87W1KQCUixSrx7gsGeEEAJN62Xx4/FlUrvDO5321ty8LzTybWJHLe9EbAOTxZN+Of1FirhoN04+knkoo/2iQfW/Hl05A3Xwrr6C69sr8Xv2cmQCw8o1us489+/5W3rS+thwGucm0dXgS5ZG40oY+/oSeVt5cs9Z/GzsItVJeEX2e03uM57wd2haarWvuyW9kZdl0O/eq2IsEIqnfD9FkMzYAOL69OGF1ID/plrY2BQCFoNzlvdVO7ywBAJuASc92fihMj+q76Q7dzh0AMg8uq4g6KyvP1X4JALLyvO7Tv3UYNx8A4L1VqT9PL488Zf/GR+auvetmlXduc21lQa+vrzDd+wFAt0krn+2cnXfue9sh08jmnMZzrtuPUsQrDT/S0Ge3GjjBzNG79d/D5sDaFCGEEGorKg0AQHSu8GmJ2N/BHADmBjjM7G9HI794y75giMO8AHttYQoAcpXGgk4SylS6HkhEwqKhjtq/+9mbAcBQNwtdgTiku8XZxIqMComuhU0nfxr4YuyTSIAlI5yicgT3sqrr1qbVUmXok8q+TkxtYQoAFBJh9gDugxzBtVTerAHcJtPWqRIrfr5T0NDHd7emd6XaFNQqABCmR4vzn5q7+AOAw5i5dsNnEig0AHAYt8B+zDxtYQoAGqWcZGahkgp1dxOIJMfxi7R/N+vmBwAWPkN1BaKFz5CKqLOS4gxdC9mM7TD2U93NTv9ZIkiLqk65V7c2VYqrK2NDmW59tYUpABDIFO6I2YJnD3jx17gjZjWec12KmqqCSw0erEq3d8faFCGEEOr0GBTi/0Z1+/F2/lv7kr1sGUPcLMZ4cUZ6cnRHP3naMPgS5f6o4vgCUUG1LKdKVlOrsmNRdT3YsSgU0otgGpkIAPZ1rhKJAAAKpUbX4m5NJ9QpIL1tGQCQ9/Jy+KxKqUYDYrnqs7MZukaRTAUAeXxZc9LW8bRhZK0LaOjj6zLvGohURreJ/8sP/TF541sMBy8LnyGc3mM4/iO1M0oZDp5KEb/45n5RVrysskBWnqOS1lA5drrbKRw7ApnyoisKDQCoHPs6vRMBQKNU6Brodu5Q52fJcPIGAFn5S7uASUuzQKNRycQZ+z7TNaqkIgCQVeQ1mXNdDHvPgL0N7uely7wdYG2KEEIItaElI5wm+VufSawIf84/9rD0SFypuzX9/Dx/LpMCAHsfFP8UXkAlE4Jc2cPdOUtGMPdHFefza3W3m1H0awhCo/WetlsdBpUE/xS1OnypEgCoJCKlTq1paUae3Numhy2jOWnXTYZOeY32o3R6Z4n14EkVUWf4yeGld4+V3jlCt3P3X32eYsEtvrG34OJPBDKV7R3E6Tmc+c6S4pv7ayvzdfeSaK8MITf6s6RYcOt+SaIy4J+iVkcp4gMAkUIlkP79uZCZljaBkxmOPZrMWS8ZIvWlCRumgrUpQggh1FYUKo1UoXLm0FaN7rZqdLdykWJ3ROEfsaV/xJasHuNSJVZsvpVnbU6JXNJPtwR+d0Rha56ot2NoYXUtAHjYMOo2uljSAcDNmv7LFC9do0qtEctVDAqpybTrdlUuUuy812DCM/px9ea5dmoapUIll9JsnLu9u6rbu6sUgvLCK7tLw/8ouf2Hw9hP885tprCs+22J1C2BL7yyuzWP09sxtLaqEAAY9i8ta6PbugAAnevmNf+Xf/NUq1QysbaWbSRnl8mr63alEJQXXt7ZUDLc4TP05rm2ndfodx2EEEKonUXmCHy3PLz4z0mhXCZFO3m0WqoEgEJBrVoDb/ta6QrTYoE8pVTSmidmV8lyqv4tT08nlMM/E1V13Kzo1uaUe5nVStW/kwFC7hf5bnmYUCRqMu26hDLlifiyhv7kda2t9QVpkQ+/8K2Mvaj9kmLBdXx7EQAoJdW1VYW/Q0QJAAAWQ0lEQVSgUVsNeFtXmMp5xZKClNY8TlaaLSvL0X1ZHnka/pmoqkPnulFY1tUp9zSqf380RddCHn7hK8pJaDxnvccpJcKy+yca+qM3l6BN4bgpQggh1FYGdWPZmFN23Ct0tKD525vn8GTaYdE3e1gCgIc1w5xKCntaNdrL0tOG8TC/Zmt4PpNGkshVWZVSvcHOZlJpNPNOpn05xsXdmn79Ge9gTEmwv3WAK7tuDIVEWPumy8pLWZ9feL54mBOLRrqZxtsZUTTCw2JQN1aTadflacPI/SawZd+cToflOYjCtim8vINm5Wju4i8rz9GOjFr2fpNh70GimVfFhVn2Gs2w96zJfJgfupVEZ6pqJdLSLL3BzmbSaFRpIfNc3vuSbu/Oi79e8vdB60HB7B4vze4lkCkuU9ZmHV75/MDnTm8vJjFYvISbRZd3WvQcwfIc1HjOeo9jOHgG7s9t2XfGuLA2RQghhNoKk0YKmeq19ELm1D9eDKHRyMTVY1zG9LDUXt3+rseKi1lzTqQBAIdB3ji+O4NKXBaaOXpPUt6GltR8w9ws7NnUBafT1RoAgKDu7C3/cX81bGZ/rlSh3vRX3uWnVQBAJhJmDuCuGeOinQDZeNqvLRKd6TU/JPPg0pStU7UtRArNZfJqy95jAMBj3vasQyvSds8BALI5p/uMjUQaI/PgsqT1owMPtGTQ0cJ3GJVjn/7rAtCoAYDtHeT+wZZXw7jDZ6rl0ryzm6oeXgYAApHMHTHTZfIa7WTWxnPumAgajabpKIQQQggBAMCZM2emT59etDGo+bdIFepnZeKiarmVOdmba2Zj/tJyIr5E+bRUzGVSetiaaUtDvkQpkCm7Wxm8MMX/x4d9HZnHP/QVSJVJxWJ7NlW3tqleolrV01KxRK7y4Zo7WlD1rjaetmk5bYg+ffr0+++/38p+CARCj8/2WQ8Kbv4tarlUXPhMXlVEZlqZOXlT2Da6S0oRX5z/lMLhmjn00JaGShFfKRHQud0NTezhUn9m976+y48rJQJxbhKVY69b21QvlUwkzn+qkknMnX2oVo7Nz9nkMvYuHO3GOHPmjK4Fx00RQgihtsWgEPs7s/o713/V0ow83N1Cr8XSrFX/QFswyCM8LJoMY9JIgS+/7q+r8bRfW0Qqg+XeH9z7v3qJzLS06Dlcr4XMbNVgM9nMwqLniCbDSHQmu0eDA+2N5NwB4VoohBBCCCHUUWBtihBCCHURdkyqVUd6845ajGphR2FZmToL08B3+gghhFAXcXtxH1OngIyjz//dNnUKJoPjpgghhBBCqKPAcVOEEEKoYwl/zq+RqSb1Mv1i6uOPyngSJQB42jIm+BrzFbNaA3UOTIV7WdVJRWIAoJOJC4Y4GPFBpsVPDlfJamwGTzJ1IlB277iyhgcADEdPq/4TXrqmUQPBmIOV1Sn3xDlJAECk0h3GLTD0dqxNEUIIoY7l18jiXJ6sI9SmB2NKCqpr7VjU0V4cvdp06K6EIW7snyYatqt8dpXscFzpzTSeUKYa5MJaEOQwzN0CABIKRWcTKyrFCjKR0JVq0+Ibv8rKcztCbVry98HaygIqx47Ta7S2NpWVZZeGH+Yl3FRJhSzPQQ7jFlj4DmtBzwlrh7J9hnh8/JOuRZSdUBF1ViGsJJDILahN8Z0+QgghhBoU6Mp+sLTfdxPc6jaeSajINfw8UplCPedE2qnH5aM8OR8Pssupkn58Ii0mTwgAy0Y6P1jab7xRh2aRHnaPwH5bHrjN+g4A1HJZ2u455fdPcfxH2Y36WFqWk7b7Y2FGjKF9Vjw4IyvP1Wt0Dl7Wb8sDq/7jW5YnjpsihBBCqFlKhPLtdwsSi8SppeIW3P7D7fysSumxD3xHe3EA4JNAh7F7k5aHZkYv6xz7bnYl+aE/SEuzfJcd4/QaDQAOYz9J2jA28+Dy/j9GN+d2Ob+kIGy7OCdRXJBq9NywNkUIIYSMbN21nJQS8f73e3BZ/x629GVYdkG17OhsXwqJEJ0rvJxSFZFVLVOoB7uyg1zZswZwSXUnYP5j6YVMtUbzyxQvXUvI/aLbGfyzc/3IRAIACGXKLX/nx+bV8CSKgd1YswZwR3u11cmiolpVdqWMTSP1dWImFokMvf1MYoWvnZm2MAUAWyZlpCfnXGJFQqGonzPT2MkaR86f68QFKT0W7adacHWN2Ue+lFUW+C49SiBTAECYHl318HJ1aoRaLmN7DWZ7B3FHzCIQSXpdZf6+VKNRe83/RddSdC2En3zb78uzBOKLekwpEeZf2FKTHqsQ8VieA7nDZ1n2Ht0Wn6si8oyZs6+2MAUACtuW4z+yIuqcKDuB6d6vydtVMpGsNJvEYDPd+opyEo2bG77TRwghhIysuxU9Lr/m2jOerqWsRn7ycRmHQaaQCFE5gulHUi89qRzlyZk1wK5YULvmSvaWv/Pr7Sq5WJRc/NIgZQ5PFpdfoz1xvEQoH7c3+VxSRYAra3o/bkF17cd/ph2ILmmjz+Vlyzg/z+/8PL89U72ajn4ZT6IUSJXDXz6tysOaAQBJxQaXue2Gbte95nkcL/6arkVeXVZ2/ySZydEWpoK0qNSfp1fGXeL4jbIbMauWV5x9bE3++XoOvhflJYvzkuu2yMpyap7HgfrF6fFyfknyxnEVUedY3gHcYdNrKwvSdn9ccuuA0T+UUsRTSgR6R1gx7DwAQJSb1JweGA5efqvP+60+77Vgj9HTw3FThBBCyMje62Xz3c28KylVcwbba1vCnlapNTC9HxcALj6pIhEJ0cv6selkAFg8zDFwZ8KtdP66ca6GPmjzrbyC6tor83tpxx1XvtFt9rFn39/Km9bXlsPQ/yeeJ1EeiSttqKsJPa28uWaGJtB8WZVSALBjUus2etjQAaBSrGi757aSTcB7eae/q3p0xX70HG1L1cMw0Ki5Q6e/+DL2IoFI6vdDNNmMDQCOby9OWB3IT7rlOm2doc/KO7e5trKg19dXtCOX3SatfLZzdt65722HTCObc+pGKkW80vAjDfVjNXCCmaN3Iw+SlmYBAJVjV7eRbu8BAIqaSkPTNjqsTRFCCCEjszanvOHFCX9eXSlW2JhTAODS00p7NnWEBwcAFgxxmBdgry1MAUCu0ljQSUKZytCnVEuVoU8q+zoxdS/EKSTC7AHcBzmCa6m8WQO4evFVYsXPdwoa6s3dmt6mtal27ZRexexkQQOAFnz2dkNhWXN6vVH9JFwhrKSwbQCgMu4S1dKe4/fijHuHcQvsx8zTFqYAoFHKSWYWKqnQ0AcpxdWVsaFMt766V+oEMoU7Yrbg2QNe/DXuiFl1gxU1VQWXfm6oK7q9e+O1qXb1kl69S7N2AgCVxODMjQ5rU4QQQsgAdDodAORKNZXc2Ly4aX1tb6XzbzzjfTDQrqC6NqFQ9MVwJ+2EUk8bBl+i3B9VHF8gKqiW5VTJampVdixqI73VK6tSqtGAWK767GyGrlEkUwFAHr+eRfSeNoysdQEN9UYh1TPb1YioJAIAVEuVdRulCjUAWND1p2Y2TqZQAwCDwTBCVjS6WlnbeIzt0Gn8pFu8hBt2Iz+orSwQZSc4TfhCtyEow8FTKeIX39wvyoqXVRbIynNU0hq9IcnmkJZmgUajkokz9n2ma1RJRQAgq8jTC2bYewbszWqoK+1kg0YQyFQAUIqr6zaq5VIAIJlZ1H9P21HWMhgv7c+A800RQgghA1hbWwOAdkf6RoztYWnBIF9JqQKAsKeVAPB+vxcDmXsfFA/YFr/jXqFCpR7uztnxnucgF1bzE6j+59F8qRIAqCQihUjQ/bE0I0/ubdPDtp66jUAAOoXY0J96V2IZkXZZmF7RrP0I1uZN1FJ6Xtxlbd36rCwsLZU1/MZjLPuMJZtZVD26AgCVD8MAgDvsfd3V4ht741cOKLy8Q61ScHoO95y3g+U5qJlPr1sdKkV8ACBSqAQSRfeHzLS0CZzMcOyhfyeBQKTSG/rz6jIsPdp1XXolr1LMBwAKywjfVYOoxTwrq5dqUxw3RQghhAzg4+MDAM/KJfbsxkY6qWTiRH/rk/HlfIny0pOqgd1Y7tZ0AKgSKzbfyrM2p0Qu6cekvaghdkcUNtQPgUBQq9V1W7KqpNq/uFjSAcDNml53Fb9KrRHLVQxKPdVJuUix816DD5rRj9vb0byRT9RK7tZ0AgHy+S8NUmr3ojJ0kX5auQT++UG0kp+vb2pRWuMxRDLVevDE8oiTShG/Ku4Sy3Mg3c5de0lRU5V3bjOFZd1vSySJ/uJTFF7ZXW8/BND/UWrnfWrRbV0AgM51q7uQX6NWqWRiElX/Nw2FoLzw8s6GEuYOn2Hu2ruRT0S3cwcCobbipeV32t2gmrNI35g0GnFRho/P/LptWJsihBBCBrC2tvbycIvKEbzhyWk88v2+tscelu2JLEopFevOTyoU1Ko18Lavla4wLRbIU0olNg2MHTpzaBFZ1UqVhkwiAEB6uSTnn03v3azo1uaUe5n/XgWAkPtFW8MLQj/xH/zKWKxQpjwRX9ZQtkGu7DatTe1Y1EBXdkyeMI8nc7WiA4BSpQlNrrRnU3s7GFabPsgWeHm46w22tcywoUMe/dbgoiId26Hvl909VnR9jzg/pe4BSLVVhaBRWw14W1eYynnFkoIU7cxUPTQb5+rUCI1KSSCRAUBSnC4rz9FdpXPdKCzr6pR7ugAAKLoWUhC61X9NKMtrcN2ulBJh2f0TDWXL9g5qvDalcuzYPQKFGTGy8jw61xUANCplZUwo1dKe2eiNRifKTZJLaoKCguo2Ym2KEEIIGSZ40nsXjv721ZtAaPQ1eH9nlrs1/bfoEgaFGOz/4lWphzXDnEoKe1o12svS04bxML9ma3g+k0aSyFVZlVIPG/0Rsv7OzNsZ/GUXM2cPsMupku2JLGLTSNoZBRQSYe2bLisvZX1+4fniYU4sGulmGm9nRNEID4tB3eqZJOBpw8j9JtA434L6HIgu+e6vvOUjnZePcq434IsRTh8dT1t4JmPJSGcOnbQnsjifLzsy27fxb6MetQaupwunfDzTKDm/8847mzZtEuUmMbv3aSSM5d6fbude8tdvRCrDelCwrp1h70GimVfFhVn2Gs2w96zJfJgfupVEZ6pqJdLSLIb9Swe6Mt3785NvZx5cZjdytqwsp+j6HhKDrRS92GiMQKa4TFmbdXjl8wOfO729mMRg8RJuFl3eadFzxKuTBBgOnoH7c1vzwZ3+80Xazo8y9i10fmcJyYxTfH2PrCLfd+kR3X/TJX8dyDv7nXPwcueJy1vzoMZVxV916ubau/dLBTHWpgghhJBh5s2bt3379juZ/CZ3uZ/ax3ZreMGEXjasf0ZJmTTS9nc9VlzMmnMiDQA4DPLG8d0ZVOKy0MzRe5LyNujXjguHOMYX1IQmV2qHGKf2sQWAkPtF2qsz+3OlCvWmv/IuP60CADKRMHMAd80YF4OqPWNRazQqtUbTcMBID87uyZ4rw7Lmn0oHADadvGF8d91W/M10N5OfWymaO3du65J9ISAgwNu3Z1n4Yea8HY1H2g6ZWhC61WbABBLj37qfRGd6zNuedWhF2u45AEA253SfsZFIY2QeXJa0fnTggZcmdDq+tbAmK74yNrQyNpRqaW8bNBUAiq6F6AK4w2eq5dK8s5uqHl4GAAKRzB0x02XymiZ+B2oRjt9Iz/m7sw6vTN8zHwDIZuzuMzbotuIHAI1GrVGrABr5ebaWWi7lRZ1es/wLvXaCprH/ihBCCCFUj4nB7zyPv39zQU9yi5YQ8SXKp6ViLpPSw9ZMW3jwJUqBTNndil5vfJVYUVoj72lnXm+VIqpVPS0VS+QqH665o4XB6/0b8UZIopMF7fiHvs2M3x1R5GJJe7dXPW+0dZRqTXKxSK2Bfk5MvQVYS0Mz/07np6xpcC2RUq1567dUr/7Dwq5cbWZKTTp+/PjHH8/xX3/d3MWvZT0oRXxx/lMKh2vm0ENbRypFfKVEQOd2fzVYUVMl55ead+vZUMWpkonE+U9VMom5sw/VyrFlKb0qcf0bNCsn3+XH6zZq1EpRbjKo1Uz3fq+uoCq6sptm62IT8G7Lnph5cCk/6e9Bu1MaCii4+FP13T+yMjO43Jf2O8NxU4QQQshgO3bu8vfreexh2dwA+xbcbmlGHu5uoddiadbgP8rW5pRGFrMzaaRAV3YL0jCuXJ7s1OPyc3ObqPDIREJ/ZwP2Jajr6MOy7ErJpe1NjHEaZPbs2Xv3/fbs5Nc+X4a2bISSzLTUO2OJzLQkM+sfU6ewrBtfC0+iM9k92nDqRV0EIpnl3r/eS7Ly3PLIU35fnmujR9fyisr+2v/jlu/1ClPAPaQQQgihFvDw8Fi2fMVPd4szK6WmzqVtpZSKF57JaM45qLk82eHZPi0buD2dUL7wTEZMbmMbv2dWSn++W7zifyt79HhlT6VWIBAIu3ftqM6ML7l9yIjddkDigpSMvQtL/mrWIaiy8lyfJYdbNnBbHnk6Y+9CYXpMQwEalTL3jxWurq6ff/75q1dx3BQhhBBqiQ0bNty7E/7hiZQrn/gaukNnZzHSk1MskGs00JwJgKOa2rigEdpH9HFkmtPqHzWrlirnnsr08um5fv36Fj+lIQMGDPh+06Z169bTbV0t+7xp9P47Ao7fSDmvGDSaZk4h5fiPasXTNKDRMLv3IdLr3/kh98Q6aV7iuQeRFEo9/+PgfFOEEEKohcrLywcPGmBHFB2d1UO32gkZXU2t6qMTGWUqZtyj+FdfARvLx3Pmnjp73nvFKaZb3zZ6BAKAwiu7Ci/9fOnixeDg4HoD8J0+Qggh1EJcLvfqtRsFUuq7f6QVVDdx9CVqmYLq2ncPPSuQUq5ev9F2hSkAHPht/xsjh6f9NLXqkdEWWqG6NCpl9tEviy5t2xMS0lBhClibIoQQQq3h5+cX+/ARzdblnd9Tw583cfolMlT4c/47v6fSbF1jH8b7+bVwHX0zUanUq5fDPlvw6fN9Cwsu/qRW4C8bxlRbWZC+c7bw0aWLF0MXLVrUSCS+00cIIYRaSyQSLZj/6clTp8f62GwY183Nuv6toFDz5VTJNv5VcCutcuaM6b8d+J3JNOzsqNbYt2/fipWrSExrp6nrrfq/3W7P7arUcmnRtZDSv/Z1d+1+7sypPn0aO+YAsDZFCCGEjOXu3btffP7f9LSMt3wsp/SxGe5uwaDg+0nDSBXq+9mC80mVN9P43j49fgn5ddSoUe2fRnFx8aovV5888Sfb1d9q2EyrvuOolg7tn0bnptGIcpOq4q/yok6TNcqNG7754osv6l38pAdrU4QQQsholErlqVOn9u/dExUTSyIQPOxY9kwys2su4jcykQJKapTZ5TUqjWZIYMBn//18+vTpZLIpNxR69OjRrl27z1+4IJWIzW2caNzuBAanLU5p6mqUtWoxT1yUIZfUOHVznf/J3EWLFjV/rjDWpgghhJDxlZWV3b17NykpqaysrKamxtTpdAIsFsvOzq5Pnz6jRo2ys7MzdTr/kslkkZGRjx8/zsnJ4fP5arXa1Bl1dHQ63dLSsmfPnkFBQb179zb0dqxNEUIIIYRQR4HzYBBCCCGEUEeBtSlCCCGEEOoosDZFCCGEEEIdxf8DbtrzU/9zGcAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(decision_tree_classifier)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_model(features, labels, decision_tree_classifier)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training a random forest by hand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "first_batch = spam_dataset.loc[[0,1,2,3,4,5]]\n",
    "features1 = first_batch[['Lottery', 'Sale']]\n",
    "labels1 = first_batch['Spam']\n",
    "utils.plot_points(features1, labels1)\n",
    "plt.show()\n",
    "\n",
    "second_batch = spam_dataset.loc[[6,7,8,9,10,11]]\n",
    "features2 = second_batch[['Lottery', 'Sale']]\n",
    "labels2 = second_batch['Spam']\n",
    "utils.plot_points(features2, labels2)\n",
    "plt.show()\n",
    "\n",
    "third_batch = spam_dataset.loc[[12,13,14,15,16,17]]\n",
    "features3 = third_batch[['Lottery', 'Sale']]\n",
    "labels3 = third_batch['Spam']\n",
    "utils.plot_points(features3, labels3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weak learner 1 training accuracy: 1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weak learner 2 training accuracy: 1.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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NDXh6elYrgM2wYcMk6rS0tNC2bVskJycjOzsbrVq1Ulzhf6nt9OhElacyf7ePvKxZswbXrl3D1q1b5Xb+JSUlmDJlCgwMDLB+/Xq550pISMBvv/0Gb29vDBkyRCE9GQ0D5nQbKE+ePAEAqfuWldVXhaxxwj1MRR8+1TVVpTIHFEtnnp6eju+//x79+/eHn5+f3Hr88MMPuHHjBnbs2IGWLVvKNaa4uBh+fn4wNjbGzz//LPdcjIYFc7oMMWRl2FUWtZ0eXZiiXFYq83fb5ElnfurUKbx9+xbPnz/Hp59+Ktb29OlTAMC5c+fg7OwMPp+PY8eOAQAiIiLAcRyCg4MlQl2mpKQAqDhGFhQUBE9PT8yaNQvp6em4ffs2TE1NMWbMGLExxcXFACqyCzs7OwOoiIXcvn37Kl8Do37BnG4DxczMDLdu3UJWVhZ69eol0V6d/dy6oLbTo1tbW4PH4yE7OxtZWVkSK/esrCy8fPkSOjo66Nixo9zzp6enywzK/uLFC8TFxUmcfSYixMXFyZSZmpoKoCL9+rs8ffpU5NDfp7S0VCSzstU8o/7CTi80UBwdHQFAaiyBsrIyhIeH17VKcmFpaVmtWzzC1V1V8Hg8uLi4AKiIvfA++/fvBwC4urpCW1u7Snnz5s2TqdPOnTsBVOyrExFycnJE41JSUmSOc3JyAgCcPHkSRCTa87Wzs5M5JiMjAwDQsmVLUd37zprRMGBOt4Hi5+cHHo+H8PBwHD9+XFRPRFixYoVCx6EaG8Lti8DAQKSlpYnq09LSEBgYCKDip/37dOrUCZ06dar2GWcGQx6Y022gWFhYYP369SgvL8eIESPQr18/jB8/Hl26dMHatWsxffp0ABUnD5oa/fv3x+LFi/H69WvY29vD3d0d7u7usLe3R05ODpYuXSr1Cu+tW7dw69YtFBYWqkBrRlOBOd0GzPTp0xEZGYm+ffsiKSkJJ06cgLm5ORISEkQXAJo3b65iLVVDYGAg9u3bB3t7e8TExCAmJgb29vY4cOAAu3DAUCksR5oKqIscaYMHD0Z0dDQuX74s9UEbo2nDcqSpDrbSbcBkZGTg1atXYnXl5eVYu3YtoqOjYW1tjZ49e6pIOwaDIQ12ZKwBExERgYULF8Le3h7m5uYoKipCamoqsrKyoKenhx07digcMJvBYNQubKXbgHFycoKXlxdevHiBU6dOITo6GhzHwdfXF0lJSXBwcFC1igwG4z3Ynq4KqIs9XQajMtierupgK10Gg8GoQ5jTZTAYjDqEOV1GvUYY9Fzea8CNkbCwMAwZMgQtWrSAtrY2WrdujeHDh+Po0aOqVo1RDdjpBQajnlJaWgpvb2+EhYWJctU1b94cDx8+RGxsLFq1aqVQFgtG/YA5XQajnjJv3jzRKjckJAQmJiaitjdv3oiC4DAaFszpMhj1kJSUFGzatAnm5uYIDw+Hrq6uWLuenh66dOmiIu0YNYHt6TZQ0tPTMWXKFHTo0AE6Ojpo1qwZbGxsMHnyZFy9elWsb3x8PObMmQM7OzuYmJhAW1sbVlZWmDZtGjIzM6XKd3Z2BsdxyMzMxOHDh+Hg4AA+n48WLVpg0qRJePbsGYCKbLdLly5F+/btwePx0LZtW6xZs0ZqSpx3ZR44cAB9+vQBn8+HkZERRowYgWvXrin8PqSkpGDChAlo3bo1tLW10aJFC4wePRpJSUlS+ycmJmLs2LFo27YteDweTExMYGtriy+++AJ37txReP7aYvPmzSAifPnllxIOl9HAqU5sU1ZqVgCocRxH1SU5OZl0dHQIAHXp0oXGjBlDHh4eZG9vT+rq6rRy5Uqx/t27dyctLS3q0aMHeXh40MiRI6lDhw4EgIyNjSk9PV1iDicnJwJACxYsIDU1Nerfvz+NGTOGLC0tCQB17tyZ8vLyqG/fvtSsWTPy8PCgoUOHkq6uLgGgFStWyJQ5d+5cAkB9+vShcePGka2tLQEgHo9HZ8+eFRuTkZFBAMjJyUlC3vbt20lDQ4MAkJ2dHXl6epKDgwOpqamRpqYmHTp0SKz/8ePHSV1dnQBQjx49yMvLi9zc3ETzh4SEVOOvUTu0b9+eAFBycjLdv3+fAgMDadq0aRQQEEDHjh0jgUBQI/nW1tY5AHpSPfg8NLWicgWaYqmp0/Xx8SEAtGbNGom2f/75h/7++2+xumPHjtGrV6/E6gQCAW3evJkAkKurq4QcoYPU0dGh8+fPi+qLiopEbZ07dyZHR0fKyckRtV+7do00NDRIT0+PCgoKpMpUU1OjgwcPirUFBQURADIzM6PCwkJRvSynm5iYSBoaGmRsbEyxsbFibRcuXCADAwMyMDCg7OxsifkPHDgg8Xrv379P9+7dk6iXBQCFy86dO+WSXVxcLBrz22+/kba2toSs3r1709OnT+XW932Y01Xh51/VCjTFUlOnO2zYMAJA165dq7YMIcKVYV5enli90EEtXrxYYszhw4dFzvPmzZsS7e7u7gRAwhkKZY4ZM0ZijEAgoI8//pgA0K5du0T1spzuqFGjCADt2bNH6utau3YtAaD169eL6j766CMCQK9fv5Y6RhF8fHwULu9+eVXGP//8QwCI4zhSV1cnZ2dnunbtGuXl5VF8fDx16dKFAJCjo2O19WdOV3WFPUhrgHTv3h0nTpzAzJkzsWrVKvTr1w+ampqVjnn+/DkiIyNx8+ZN5ObmoqysDEBFPi6BQIC7d++iW7duEuOkpQEXJkO0sLCAjY2NRHuHDh0A/Jex+H28vb0l6jiOw/jx4/HXX38hPj4eEydOlPlaBAIBoqOjoaGhIfPIlDAlzqVLlzB37lwAFe/bzZs3MXHiRHz33Xfo2bNntRNx1mYa+fLycgAVC6JWrVrh5MmT4PF4AIB+/frh9OnTaN++PRISEnDu3DkMGDCg1nRhKB/mdBsgAQEBuHTpEqKjozFw4EDo6OigR48ecHFxga+vL9q0aSPWf+PGjViwYIEoo6w08vLypNYLg6G/C5/Pl9n2brusdO2WlpaV1leWyReoyCicn58PoOo06tnZ2aJ/r169Gjdv3sSxY8dw7Ngx6Ovro0+fPnB1dYWvr2+9Cfj+7muaOHGiyOEKMTMzg5ubG8LCwhAbG8ucbgODOd0GCJ/PR1RUFC5fvozjx48jLi4Oly9fxvnz5xEYGIj9+/eLVoCJiYmYNWsW+Hw+NmzYgAEDBqBVq1bQ0dEBAIwfPx6hoaHCbQ8JKlsJVneVKCvcpFCHqsJRCgMFaWtrY9y4cZX2fTeD8IcffogrV64gLi4OJ06cwPnz53Hu3DlER0dj1apVOH36tNwB3319feXq9y7+/v6ihKKVYWBgAGNjY7x69QpWVlZS+wjrZWUNZtRfmNNtwPTu3Ru9e/cGUJGO+8cff8SqVaswbdo0kdMNDw8HESEwMBD+/v4SMu7evVunOgMVV3s//vhjiXphMk0zM7NKx5uYmIDH40EgEGDr1q1Vbq28i5qaGj799FN8+umnAICXL1/im2++wfbt2zFnzhxcunRJLjnVSSPv7Owsl9MFgG7duuHs2bMSQeqFvHz5EsB/vyoYDQd2TreRwOfzsXLlSujq6uLZs2d48eIFAIg+tO9vOQAV2XGrcza2puzdu1dq/b59+wBUJJasDA0NDQwcOBAlJSWIjIyskS7NmzcXZQhOTU2Ve1x1HqAosjr+7LPPAADnzp2TaCsvL0d8fDyAin1qRsOCOd0GyKZNm6SuUGNjY1FYWAh9fX0YGRkB+O/n9e+//46SkhJR3+fPn8PHx0f0QK0uOXjwII4cOSJWt27dOqSkpMDU1BSenp5Vyli6dCk0NDQwY8YMsRT0QoqLixEWFibmSH/66SepD/eE483NzRV9KbXG5MmTYWpqiqioKGzbtk1UT0RYunQp7ty5A1NTU4wcOVKFWjKqhaqPTzTFghoeGevatSsBoI4dO9LIkSPp888/Fx39AkAbNmwQ9X316hW1bt2aAFDr1q3J09OThg8fTnw+n6ytrcnDw4MAUExMjNgcwuNdGRkZEvNXdmGBiGjZsmVSz6UKZc6ZM4cAkIODA33++eeio2La2toUFRUl91zBwcGkpaUlei9GjBhBo0aNoh49ehCfzycAdPjwYVF/Q0ND4jiObG1tydPTk7y8vMje3p4AkIaGhljf+kBsbKzoEoydnR2NHj1adKmFz+dTXFxctWWzI2OqK2yl2wBZuXIlpk6dCm1tbcTFxeHw4cN4+vQpRo0ahfPnz2PWrFmivs2aNUNiYiKmTJkCdXV1REZG4saNG/D398elS5dgaGhY5/p/9dVX2Lt3L0pLSxEREYHMzEwMGzYMFy5cgIuLi9xyJk2ahOvXr2P69OmiY2RRUVHIy8uDi4sLgoODMWjQIFH/X3/9FRMmTEBZWRmio6Nx9OhR5Ofnw8fHB0lJSfDw8KiNl1ttnJyccO3aNYwfPx7//PMPjh49ijdv3mDSpElISkqqchuGUT9h6XpUQFNN1+Ps7Iy4uDhkZGTIPDbGqBtYuh7VwVa6DAaDUYcwp8tgMBh1CHO6DAaDUYewyxGMOiM2NlbVKjAYKoetdBkMBqMOYU6XwWAw6hDmdJs4sbGx4DiuWgFcGgN//PEHOI4TK/Lc0vP19RX1P3XqlNL0SU9Px7p16zB48GBYWVlBW1sbJiYmcHFxwf79+2WOs7S0FHsNy5cvV5pODOXC9nQZDABdu3aFnZ0dgKqjp50+fRrBwcHgOA7KPuc+aNAgPH78GDo6OujVqxf69OmDBw8e4OzZszhz5gyOHj2KkJAQCR09PT2RnZ2Nu3fv4sKFC0rViaFcmNNlMAB4eHjItTosKCjAtGnTYGtrC319fVy8eFGpelhbW+P777/HuHHjxBJS/vnnn3B1dcXevXvx6aefSkSMW7duHYCKlTtzuvUbtr3AYChAQEAAHj16pHBISXk5e/YspkyZIpEBuG/fvli0aBEA2VHaGA0D5nTrIampqeA4DtbW1jL7JCUlgeM4dOnSRVT3+vVr/Prrrxg6dCisrKzA4/FgZGQER0dHhdPLLF++HBzHyRwn3NOUdgysuLgYP//8M3r16gUDAwPo6OjA1tYWQUFBlWavqO/Ex8dj8+bNmD17tiiOcV0i3P54/Phxnc/NUB7M6dZDbG1t0bVrV9y+fRtXrlyR2mf37t0AIJZL7MKFC5g9ezZu3LiBtm3bYuTIkbC3t8fVq1cxefJkfPnll7Wu+8uXL9GvXz/Mnz8f9+7dE6XDefXqFRYvXgwXF5cG6XiLiorg7++PNm3aYNWqVSrRQRjO09TUVCXzM5QDc7r1lEmTJgEAQkJCJNrKy8sRGhoKNTU1sSSPNjY2uHDhArKysnD27FmEhobi3LlzyMzMhJ2dHTZu3Ch3ZoTq4ufnh6tXr8LX1xeZmZmIiorCkSNHcO/ePUyYMAEJCQlYuXKl3PLePSUgb3F2dlb66xLGsN24caNKsjW8ffsWv/76KwDUu2hoDMVgD9LqKePHj0dAQAD27duHn376SWz/MCoqCs+ePcPAgQPFkkO2a9cO7dq1k5BlamqKNWvWYPDgwQgPD0efPn1qRefU1FRERETgo48+wu+//y6mM4/Hw+bNmxEVFYXNmzdj5cqVcuVYkze9zbu8mxdNGVy5cgXr16/HuHHjMHz4cKXKlpcFCxbgzp076NChA2bMmKESHRjKgTndeoqpqSlcXFxw6tQpnDp1CiNGjBC1CVe/0tKUExHi4+Nx/vx5PHnyBEVFRSAiUfbc27dv15rOwvOq7u7uUh8y6enpoUePHjhx4gTu3LlT6Z61EH9/f6m53eqKkpISTJkyBQYGBli/fr1KdNi0aRN+++038Pl8HDhwQJRUlNEwYU63HjNp0iScOnUKISEhIqebn5+PiIgI6OrqYtSoUWL9nz59Cg8PD1y+fFmmTFmp1pVBRkYGACAoKAhBQUGV9s3OzpbL6aqaH374ATdu3MCOHTvQsmXLOp9///79mDVrFng8HiIiIkQP0xgNF+Z06zEeHh4wMDBAZGQkcnNzYWhoiPDwcBQWFsLb2xv6+vpi/f39/XH58mW4u7sjICAANjY2MDQ0hLq6Om7fvg1ra2ulHeaXFoBdWNe7d+8qf+I3b95crnm2bduGhD8PwucAACAASURBVIQEhXTr1KmT6HhVTYmIiADHcQgODpbIAJySkgKg4hhZUFAQPD09xbJ21JTIyEhMnDgR6urqCAsLw4ABA5Qmm6E6mNOtx+jo6GD06NHYuXMnwsLC4O/vL3Nr4c2bNzh58iRatGiBQ4cOQV1dXaxd0VTrWlpaACDalngfYbr0dxFmHB46dCiWLVum0HyySEhIUDjduZOTk9KcLlCxZRMXFyezXZj8Upmr0KioKIwZMwYCgQB79+6Fm5ub0mQzVAs7vVDPEZ5i2L17Nx4/fozY2Fi0atVKLPcXAOTm5kIgEMDMzEzC4QLAnj17FJrXzMwMAHDr1i2JtufPn0tN3e7q6goAOHz4sNJW1H/88YfCif+UGUIyJSVF5jxOTk4AgJMnT4KIlLbnGxcXBw8PD5SUlGD79u0YO3asUuQy6gfM6dZznJycYGFhgfj4eAQGBkIgEGD8+PESjrVly5YwMjJCamqqhNPZuXMnQkNDFZrX2dkZHMchJCRE7OFbTk4OJk+eLHUF3KNHD7i5ueH69evw9fVFdna2RJ/09HRs375dIV0aKsL3UJHgM5cvX4abmxuKioqwceNG+Pj41J6CDJXAthfqORzHwdvbG4GBgdi4cSMA6acW1NXVsWTJEgQEBGDgwIFwcnKCqakpUlNT8ffff2PRokVVPtx6F0tLS/j5+WHbtm2wt7cXZZ69cuUKPvjgA3z22WeIiIiQGLdr1y4MHz4cu3btwqFDh2BnZ4fWrVvjxYsXyMzMxL1799C1a1f4+flV8x1pOAj3uBW5Ljx06FAUFBTA1NQUly5dknqu2sTERBRrgdHwYE63ATBp0iQEBgYC+O+2mjQWLlwIc3Nz/O9//0NiYiLU1dXRrVs3HD9+HB999JFCTheoOKrUpk0bBAcH48yZM/jggw/g5eWFH374AfPmzZM6plmzZoiLi0NwcDD27NmDv/76C5cvX4aJiQlat26NsWPHYsyYMYq9AQ2Q8vJypKamQltbGxMmTJB73OvXrwFUnESRtZdtYWHBnG5DRtH9MlZqXgCocRxHDNWzc+dOAkDLli1TqtxLly4RAPrqq6+UKrcq5H091tbWOQB6Uj34PDS1wla6DAaAI0eOIDMzEwCwY8cOuW7LVcbZs2dhYGCAb7/9VgnaVc3XX38tiqfLqN8wp8tgALh+/TquX78OoOJscE2d7pIlS7BkyRJlqCYXBw8elHqMj1H/4IiUG/meUTUcx6kBKC8vL6/xh5vBqA4dOnTIvXv37iAiuqpqXZoa7BOvAohIoKmp+VbWxQMGo7bJz89XB5Craj2aIszpqgg9Pb17tR1mkcGQxtOnT5GTk6MB4KGqdWmKMKerIvLy8nbs2bOnSNV6MJoe4eHhxOPxThFRw4sm3whge7oqguO4Njo6OulnzpzRdXBwULU6jCbCw4cP0bNnzzfPnj3zJCLl5Y5nyA1b6aoIInpYVFQ02tXVtTA0NBSFhYWqVonRiCkrK8PZs2fRp0+fwtzc3O+Zw1UdbKWrYjiO+7RZs2ZBRUVFdo6OjsXm5uaaurq6khFr6h6uvLxcU11dvRQAMxIFKC8v11JTUyvjOE4y/mUdU1JSInj69GlpTEyMprq6+sOCgoLA0tLSP1StV1OGOd16AsdxHwD4FIAJAG0Vq6MNYD6AaADsSJHitAEwDcD/A/BCxbqUAXgN4CIR3VexLgwwp8t4D47jOAAHALwioumq1qehwnHcdACzAPQhojeq1odRf2BOlyEGx3HzAEwE8Al7ul19/v3yEkas8SH2QWP8C3O6DBEcx30C4BAqVmcZqtanocNxnC6AywB+JaItqtaHUT9gTrcJwv0b4uy9uhYAkgDMIKLjqtGs8cFxXEcACQCGvX/lVtrfgdH4YUfGmhgcx2kDuPPvz19hnTqAvQCCmcNVLkR0G8AMAAc5jns/G+dJjuM6q0AthgphTrfp0RlA0XsrrBX//lc52SQZYhDRIQDhAEL+DXYk5BmAvqrRiqEqmNNtetgDSBb+D8dxwwH4ABhPROUq06rxswiAPoB34z0mo+LvwWhCMKfb9LAHcA0AOI6zBLADgBcRPVehTo0eIioF4AVgJsdxwlTOzOk2QZjTbXp0A5DMcRwPwEEAq4nooop1ahIQ0RMA3qjYZmgNIAVAF47jWDKBJgRzuk2Ifz/cH6Piw74ewH0Av/zb1ozjuGUcxymWvZJRKRzHTeY4btO/vypARDGouKl2AMBbAI8BWKtMQUadw5xu08IaFR/yz1Bx5dgfwAccx60GcBeABYCtqlOvUXIUFddwkziO2/nvEbIfAbwEsAZsi6HJwZxu08IewD0AP6HiGNMKAOkADAF0J6IpRHRPhfo1OojoJREtAdAeQAaACwD2AAgC4I6K2AjM6TYhmNNtWvRBxRGl66g4wkQAuhDRTCLKVKVijR0iek1E3wNoi4oHmeEAMgGMBPCJClVj1DHsRloTguO4xwA+ALAOwHp2YkF1/HtF2B8Vvzb0iYg9TGsiMKfbhOA4bhSAC0T0TNW6MCr494bgOCIKrrIzo1HAnC6DwWDUIdX6SfPvvf2uWlpannp6eh+pqakZKFkvRtOFBALB67y8vCvl5eVhRPRAUQH/xjjwMDQ0/FRDQ8ME1bRzBuN9iKiouLg4o7Cw8DCA+Orc4lR4pctxnD2fz4/Q1dVtNmHCBK2PP/5Yk8/n4534KQxGtREIBMjNzcX58+eLwsPDOTU1tZt5eXnD5NkS4ThO29DQcM/bt2/dBg0aVDps2DB+8+bNoaHBfC6j5hARioqKcP/+fcGePXvePHz4kIqLi6cKBIIDCguStwCw19XVzdu3bx8JBAJiMGqTkpIS+vbbb0v4fH4mgJZUuW1q6+vrnx0+fPib/Px8FWrNaCokJiaSoaFhIcdxXqSAH1VopWtgYJCxZcsWy88//1whx85g1ISvvvqqbMeOHYdyc3O9ZPVRU1Ob3a9fv6AzZ87oampq1qV6jCbMX3/9hV69ehW/ffvWlIhy5Rkj9zldjuM+0tTUbOHlJdPuGYxa4euvv9YoKSlx+/dJv1SMjIymBgQEMIfLqFM+/vhjODo6lgEYIe8YuZ2uhobGqHHjxmmoqbH7FIy65cMPP4S1tXUZAGdp7RzHtSguLu7o4uJSt4oxGAAmTZrEb9as2UR5+8vtQfX09KxtbW21qqcWg1EzbG1tNVARG0Ia5h9++GGxlhYzT0bd06lTJ6DipqFcyO101dXVDfh8fnV0YjBqjJGRkQYAWQaox2yToSr09fUhEAh05e2vyF4B15COhS1fvhwcx+GPP/5QijyO42BpaakUWcrmwIEDcHR0hIGBAQwMDODo6IiwsLBqy0tKSsLIkSPxwQcfQEdHB507d0ZQUBBKS0uVqLViVLWtxWzTUimylE1TsE1FbY9t0DZwvv32W3h5eeHq1atwcnKCk5MTrl69irFjx+L//u//FJZ3/Phx9O3bF0eOHEGnTp0wYsQIZGdnY/HixRg6dKhKjZvRsGC2KQN5z5YZGxsf3b17dx2egqsZL168oLS0NMrJyVGKvLS0NLp7965SZCmL+Ph4AkBGRkZ08+ZNUf3NmzfJyMiIANDFixfllpeTk0PGxsYEgPbu3Suqz83NpZ49exIACgwMVOprkJc5c+a8BTCfpJ/RderWrZty/tB1ALPNxmWbaWlpZGho+Jjkve8gb8eG5nSbAiNGjCAAtHbtWom2NWvWEADy8PCQW97//vc/AkDDhw+XaLty5QoBIBMTEyorK6uR3tWhMTndpkBTsk1FnW6D2V44duwYHB0doaenB2NjY7i5uSE5ORl//PEHOI7D8uXLxfrL2jfz9fUFx3GIjY3Fn3/+iSFDhsDIyAi6urr45JNPEB0dLXX++rZvVlxcLNJ17NixEu3C89SnT5/G27dv5ZIZGRkpU17Pnj1hZWWF7OxsXLhwobpqN0qYbYrDbLNyGoTT3bJlC0aMGIELFy6gW7ducHV1xf379+Hg4IArV65US+aJEyfQv39/PHv2DEOHDkXnzp1x8eJFDB06FDExMUp+Bcrn1q1bKC4uhomJCczNzSXazc3N0bx5cxQVFeH27dtyybx+/ToAoHv37lLb7e3txfoxmG1Kg9lm5dR7p/vgwQPMmzcPampqiIiIQEJCAkJDQ3Hjxg0sWLAAmzZtqpbcdevWYceOHbh27RpCQ0ORmJiI1atXo7y8HN9//32N9c7MzATHcQqX2NhYueQ/eFARfKt169Yy+wjbhH0rIy8vD69fv65UpiLymgLMNqXDbLNy6n34pe3bt6O4uBienp5wd3cX1XMchxUrVmD37t3IyspSWK6npycmThS/RDJ//nz8+OOPuHjxIkpLS1GTK6V8Ph8+Pj4KjzM1NZWrX0FBAQBAT0+vUh0AID8/X255lclURF5TgNmmdJhtVk69d7oJCQkA/tsHehcNDQ14enrip59+UljusGHDJOq0tLTQtm1bJCcnIzs7G61atVJc4X8xMTFR2jlMadC/gYoqOyMo7KOIvJr2aUow25QOs83KqffbC0+ePAEAqXtDldVXhaxx+vr6ACD3Br+qEOr57irgfd68eSPWVx55746ribymALNN6TDbrJx6v9KtLWo7cE92dja+/vprhcctWrRIeJe7UiwsKsIQPHr0SGYfYZuwb2UYGBjAyMgIOTk5ePToEQwNDWskj1F9mG2K09hss947XTMzM9y6dQtZWVno1auXRHt19szqgoKCAgQHK55r0NfXVy7Dtra2Bo/HQ3Z2NrKysiRWR1lZWXj58iV0dHTQsWNHuea2s7NDbGwskpKS0LlzZ4n25ORkAEDXrl3lktfYYbYpHWablVPvtxccHR0BQOp97bKyMoSHh9e1SnJhaWmpUFYOYXF2dpZLPo/HgzCU4YEDktlC9u/fDwBwdXWFtrbMMLRijBgxQqa8xMREZGRkwMTEBJ988olc8ho7zDalw2yzcuq90/Xz8wOPx0N4eDiOHz8uqicirFixokEcEakthD8RAwMDkZaWJqpPS0tDYGAgACAgIEBiXKdOndCpUyeJc6R+fn4wNjbG8ePHsW/fPlF9Xl4evvzySwAVT9HV1dWV/loaIsw2ZcNsUzb13ulaWFhg/fr1KC8vx4gRI9CvXz+MHz8eXbp0wdq1azF9+nQAFU93mxr9+/fH4sWL8fr1a9jb28Pd3R3u7u6wt7dHTk4Oli5dir59+0qMu3XrFm7duoXCwkKxekNDQ+zatQsaGhr4/PPP0b9/f4wdOxYdOnRAYmIiBgwYUK29wMYKs03ZMNuUTb13ugAwffp0REZGom/fvkhKSsKJEydgbm6OhIQE0aHo5s2bq1hL1RAYGIh9+/bB3t4eMTExiImJgb29PQ4cOFCtg/TDhw/HpUuX4O7ujps3b+Lo0aNo3rw5AgMDcerUqRqdD22MMNuUDbNNGci7n1NfA964uLgQALp8+bKqVWHUIg0x4A2zzaZBowx4k5GRgVevXonVlZeXY+3atYiOjoa1tTV69uypIu0YTRlmmwxFqfdHxgAgIiICCxcuhL29PczNzVFUVITU1FRkZWVBT08PO3bsaFCZAxiNB2abDEVpECtdJycneHl54cWLFzh16hSio6PBcRx8fX2RlJQEBwcHVavIaKIw22QoSoNY6Xbr1g27d+9WtRoMhgTMNhmK0iBWugwGg9FYYE6XwWAw6hDmdJWMMEC0vFcmGzPCdDUcx2HRokWqVqfJ01RtMz09HevWrcPgwYNhZWUFbW1tmJiYwMXFRXQluS5pEHu6jIbH06dPMX/+fHAc16BinTIaH4MGDcLjx4+ho6ODXr16oU+fPnjw4AHOnj2LM2fO4OjRowgJCan16G5C2EqXUSvMnDkTb9++lciAwGDUNdbW1ti+fTuys7MRGxuL0NBQXLx4ERcuXIC+vj727t2LHTt21Jk+zOkylM6BAwdw+PBhrFixAlZWVqpWh9HEOXv2LKZMmQJdXV2x+r59+4q2vfbu3Vtn+tSZ001PT8eUKVPQoUMH6OjooFmzZrCxscHkyZNx9epVsb7x8fGYM2cO7OzsYGJiAm1tbVhZWWHatGnIzMyUKt/Z2RkcxyEzMxOHDx+Gg4MD+Hw+WrRogUmTJuHZs2cAgKKiIixduhTt27cHj8dD27ZtsWbNGqk/gd+VeeDAAfTp0wd8Ph9GRkYYMWIErl27pvD7kJKSggkTJqB169bQ1tZGixYtMHr0aCQlJUntn5iYiLFjx6Jt27bg8XgwMTGBra0tvvjiC9y5c0fh+Wubly9fYvbs2bC3t8dXX32lanXkgtlmBY3dNqVhZ2cHAHj8+HHdTSrvfeGaxF5ITk4mHR0dAkBdunShMWPGkIeHB9nb25O6ujqtXLlSrH/37t1JS0uLevToQR4eHjRy5Ejq0KEDASBjY2NKT0+XmMPJyYkA0IIFC0hNTY369+9PY8aMIUtLSwJAnTt3pry8POrbty81a9aMPDw8aOjQoaSrq0sAaMWKFTJlzp07lwBQnz59aNy4cWRra0sAiMfj0dmzZ8XGZGRkEABycnKSkLd9+3bS0NAgAGRnZ0eenp7k4OBAampqpKmpSYcOHRLrf/z4cVJXVycA1KNHD/Ly8iI3NzfR/CEhIdX4a9Qu3t7epK6uTsnJyUREtGzZMgJA33zzTY3k1lbsBWabFTQF25TGL7/8QgCof//+1ZahaOyFOnG6Pj4+BIDWrFkj0fbPP//Q33//LVZ37NgxevXqlVidQCCgzZs3EwBydXWVkCM0Qh0dHTp//ryovqioSNTWuXNncnR0pJyc/z6f165dIw0NDdLT06OCggKpMtXU1OjgwYNibUFBQQSAzMzMqLCwUFQvy7ATExNJQ0ODjI2NKTY2VqztwoULZGBgQAYGBpSdnS0x/4EDByRe7/379+nevXsS9bIAoHDZuXOn3PKJKv5uAGjhwoWiuvrudJltNg3blEZxcbHoC/Onn36qthxFnW6dnF548eIFAIiiyb+LqampRGrn4cOHS/TjOA7Tp0/Hrl27EB0djfz8fKlJ6ObNmyeK6A9URLGfN28e4uLikJaWhr///lssx5KdnR2GDRuGo0eP4urVq3BycpKQOXr0aIwePVqsLiAgAHv37sVff/2FgwcPVvnAaPXq1SgrK8OGDRsk5nBwcMDSpUuxcOFC7N69G3PnzgVQ+fum6F5pdVJut2/fXu6+eXl5mD59Otq2bYvly5crPJeqYLbZ+G1TFgsWLMCdO3fQoUMHzJgxo8by5KVOnG737t1x4sQJzJw5E6tWrUK/fv2qjH35/PlzREZG4ubNm8jNzUVZWRmAiqNIAoEAd+/eRbdu3STGDRkyRKJO+AeysLCAjY2NRHuHDh0A/Jfd9X28vb0l6jiOw/jx4/HXX38hPj6+UsMWCASIjo6GhoYG3N3dpfYRGvulS5dEht29e3fcvHkTEydOxHfffYeePXtW+1hLbabcBioyBTx+/BhRUVESDyzqM8w2G79tSmPTpk347bffwOfzceDAAejo6NTZ3HXidAMCAnDp0iVER0dj4MCB0NHRQY8ePeDi4gJfX1+0adNGrP/GjRuxYMECFBcXy5SZl5cntV4YOPpd+Hy+zLZ322Wltra0tKy0vrKsp0BF9tX8/HwAVaeIzs7OFv179erVuHnzJo4dO4Zjx45BX18fffr0gaurK3x9fetNcOxz585h69atmDRpktSVT32G2Wbjtk1p7N+/H7NmzQKPx0NERIToYVpdUSdOl8/nIyoqCpcvX8bx48cRFxeHy5cv4/z58wgMDMT+/ftF37KJiYmYNWsW+Hw+NmzYgAEDBqBVq1aib6Lx48cjNDRU5oH7yr5tq/tNLCs0n1CHqkL3CQQCAIC2tjbGjRtXad93s61++OGHuHLlCuLi4nDixAmcP38e586dQ3R0NFatWoXTp09LzUIrDV9fX7n6vYu/v7/Yz2FZHD16FADw119/Sdx2Ej7R37t3Ly5duoT27dtj27ZtCutSWzDbbNy2+T6RkZGYOHEi1NXVERYWhgEDBigso6bU6Y203r17o3fv3gAq0kD/+OOPWLVqFaZNmyYy7PDwcBARAgMD4e/vLyHj7t27dakygArH8fHHH0vUCxMPmpmZVTrexMQEPB4PAoEAW7duVSitiJqaGj799FN8+umnACqOZH3zzTfYvn075syZg0uXLsklpzopt52dnRUy7JSUFJltDx8+xMOHD5GTk6OwHnUBs83GbZsAEBUVhTFjxkAgEGDv3r1wc3NTeF5loLLLEXw+HytXroSuri6ePXsm2pgXRuF//2cdUJFJtDrnD2uKrIPTwqyk/fv3r3S8hoYGBg4ciJKSEkRGRtZIF2FOKABITU2Ve5y8T1bfLfKuQNavXy9TxrJlywAA33zzDYioUsdcX2C2WT3qo20KiYuLg4eHB0pKSrB9+3aMHTtWofHKpE6c7qZNm6SuAmJjY1FYWAh9fX0YGRkB+O8nzO+//46SkhJR3+fPn8PHx0f00KIuOXjwII4cOSJWt27dOqSkpMDU1BSenp5Vyli6dCk0NDQwY8YMsXTdQoqLixEWFiZmrD/99JPUByjC8ebm5oq+FMZ7MNts/LZ5+fJluLm5oaioCBs3bqzWaQllUifbC1u2bMHMmTPRsWNHdO7cGTweDw8ePBD9/AgMDBT9rJk8eTJ+/vlnnDhxAu3atUOfPn1QVFSEuLg4fPjhh/Dw8JAwstrmyy+/xMiRI+Hg4AALCwvcuHEDf/31F7S1tbFr1y65ntb37t0b27dvx9SpU+Hm5oaOHTvC2toampqayMrKQnp6OgoKCnD48GHY2toCAL7//nt8/fXX6NKlC6ytraGuro47d+4gOTkZGhoaWL16dW2/9EYPs83Gb5tDhw5FQUEBTE1NcenSJanbHiYmJli3bl3dKCTvcr4mlyOOHj1KU6dOJVtbWzI2NiYej0dt27YlT09PscPiQv755x+aMmUKWVhYkLa2NllaWtK8efPo9evXosPsMTExYmOEh7UzMjIk5FV2E4fovwP87x+4flfm3r17qWfPnqSrq0sGBgY0bNgwunr1qsJzpaWl0fTp06l9+/bE4/GIz+dTx44daeTIkRQcHEz5+fmiviEhITRx4kSysbEhQ0ND0tHRoQ4dOpCPjw9dv35dqvz6Rn2/HMFs8z8aq21CjssWFhYW1ZZfL2+kNVQq+7Aw6paGmIK9NmG2WX9olCnYGQwGo7HAnC6DwWDUIczpMhgMRh3C0vVUQmxsrKpVYDCkwmyz4cJWugwGg1GHMKfLYDAYdUiDc7qxsbHgOK5aQTIaA++mNRcWeW5C+fr6ivqfOnVK6XqdOXMGgwcPhrGxMfT09NC9e3ds2bJFZvCX91+DKsL71QbMPuWzTyLC5s2b0b17d+jp6cHY2BiDBw/G2bNnlapPcnIyVq5cCWdnZ7Rp0wZaWlpo2bIl3N3dERUVJXNcbdon29NtoHTt2lUUkq6qCFWnT59GcHBwraVD37JlC7744guoqalhwIAB0NfXR3R0NGbMmIGLFy9KDWgivIqZkpKC69evK10nhmqpzD6JCBMnTsSePXugr6+PIUOGID8/H+fOncOZM2ewdetW+Pn51ViHsrIydO/eHQBgYGCA3r1745NPPsHt27cRGRmJyMhIfPPNNwgKCpIYW6v2Ke+B3vpyOSImJoYAkI+Pj6pVUQk7d+4kALRs2TK5+ufn55O5uTnZ2tqSg4MDAaCTJ08qTZ979+6RpqYmaWpqUlxcnKj+8ePHZGVlRQBo7969MsfLunH1Pg3lcgSzz6rtc9euXQSArKys6PHjx6L6uLg40tTUJC0tLcrMzKyxLqWlpdS9e3cKCwujkpISsbbDhw+LcrxFR0fLlCGPfbLLEQwxAgIC8OjRI4XD9snL+vXrUVpaimnTpolFtDIzM8OPP/4IAFizZo3S52U0XNauXQugwi7eDT3Zv39/TJ06FSUlJVi/fn2N59HQ0MDVq1fh6ekpYfseHh6YMmUKgLpNvw4oaU83NTUVHMfB2tpaZp+kpCRwHIcuXbqI6l6/fo1ff/0VQ4cOhZWVFXg8HoyMjODo6KjwHsry5csr3XsR7mlKO2pTXFyMn3/+Gb169YKBgQF0dHRga2uLoKCgSjME1Hfi4+OxefNmzJ49WxQrVtkIwwFKC5X32WefgcfjISUlBVlZWbUyvzww+6w/PHjwAKmpqeDxeFLTA3l5eQEAIiIial0XlaRfh5Kcrq2tLbp27Yrbt2/jypUrUvvs3r0bAMTyNV24cAGzZ8/GjRs30LZtW4wcORL29va4evUqJk+ejC+//FIZ6lXKy5cv0a9fP8yfPx/37t0TpRx59eoVFi9eDBcXlwZn2ABQVFQEf39/tGnTBqtWraqVOXJzc0WZIezt7SXatbS00LlzZwBQ6b4ts8/6gzCecpcuXaClpSXRLrSjjIwMmWmPlIUwpOf7yUdrG6VtL0yaNAkAEBISItFWXl6O0NBQqKmpiSXSs7GxwYULF5CVlYWzZ88iNDQU586dQ2ZmJuzs7LBx40a5o89XFz8/P1y9ehW+vr7IzMxEVFQUjhw5gnv37mHChAlISEjAypUr5Zb37ikBecv7KW6UwdKlS3Hnzh1s3LhRlGdL2QizExgZGcmcQ5j7S9hXVTD7rEDV9im0g8pywgkzItfmr6Ps7GzRA14PD49am0caSju9MH78eAQEBGDfvn346aefxPZQoqKi8OzZMwwcOFDszW7Xrh3atWsnIcvU1BRr1qzB4MGDER4ejj59+ihLTTFSU1MRERGBjz76CL///ruYzjweD5s3b0ZUVBQ2b96MlStXypXHqjp5m97NPaUMrly5gvXr12PcuHFSU4Yri4KCAgCAnp6ezD5CZyxMfqgqmH1WoGr7lNdmcnNza81miAhTpkzBq1ev0L9//4brdE1NTeHi4oJTp07huCPcJwAACOtJREFU1KlTGDFihKhNuLqQlgqaiBAfH4/z58/jyZMnKCoqAhGJ3vDbt28rS0UJhOdV3d3dpT5k0tPTQ48ePXDixAncuXOn0j1BIf7+/lLzZ9UVJSUlmDJlCgwMDJTyMKIyiKpOfijso2qYfVagavusDzazaNEiREZGwtTUFHv27KkyeaeyUeo53UmTJuHUqVMICQkRGXV+fj4iIiKgq6uLUaNGifV/+vQpPDw8cPnyZZkya3NfJyMjAwAQFBQk9azeu2RnZ8tl1Krmhx9+wI0bN7Bjxw60bNmyVucSpuwWrl6k8ebNG7G+qoTZp+pRtc2sW7cOa9asgbGxMaKiomRuc9QmSnW6Hh4eMDAwQGRkJHJzc2FoaIjw8HAUFhbC29tb4k309/fH5cuX4e7ujoCAANjY2MDQ0BDq6uq4ffs2rK2tlfatJ0w1La2ud+/eVf6Eat68uVzzbNu2DQkJCQrp1qlTJyxatEihMbKIiIgAx3EIDg6WuJQgfIgREBCAoKAgeHp6YtasWdWey8LCAgCQk5ODgoICqfu6jx49EuurSph9qt4+hXYgtIv3KSgoQG5uLgDl51nbvHkzFi5cCH19fZw6dUqUeqiuUarT1dHRwejRo7Fz506EhYXB399f5k+3N2/e4OTJk2jRogUOHToEdXV1sXZF01kLn4TK2geS9iBHmNV16NChoqy1NSUhIUHhlNJOTk5KM2qg4udZXFyczHZhgkHhkZnqYmhoCEtLS2RmZiI5OVki82xJSQlu3LgBoOKGkqph9ql6+xTa3N9//42SkhKJEwzJyckAACsrKxgYGChlTqDievLMmTOhq6uL48ePo2fPnkqTrShKvxwhfEq8e/duPH78GLGxsWjVqhUGDRok1i83NxcCgQBmZmYSBg0Ae/bsUWhe4SHrW7duSbQ9f/5canpsV1dXAMDhw4eVtmL5448/FE4nrcwwfSkpKTLncXJyAgCcPHkSRKSUPV/hz/QDBw5ItEVERKC4uBh2dnb1Jjsss0/V2qeFhQVsbW1RXFyMo0ePSrTv378fQMUZb2Wxb98++Pn5QUtLC0eOHEG/fv2UJrs6KN3pOjk5wcLCAvHx8QgMDIRAIMD48eMlDLdly5YwMjJCamqqxB91586dCA0NVWheZ2dncByHkJAQsYcbOTk5mDx5stQVRo8ePeDm5obr16/D19cX2dnZEn3S09Oxfft2hXRpqAjfw+XLl8s9Zu7cudDU1MTvv/+O+Ph4Uf2TJ0/wzTffAKjYzqgvMPtUPQsXLgRQYRfvpnGPj4/H1q1boaWlhblz50qMs7S0VDj4TEREBCZOnAh1dXWEhYXBxcWlxvrXFKU7XY7j4O3tDSLCxo0bAUh/Kqyuro4lS5agvLwcAwcOxIABAzB+/HjY2tpiypQpog+svFhaWsLPzw95eXmwt7fHsGHDMGzYMLRv3x7379+X+c25a9cu9O3bF7t27YKVlRX69euHzz//HIMGDUL79u1hY2ODDRs2KP5GNECEe4iKXBdu164dNmzYgLKyMgwYMACurq4YPXo0bGxskJGRgYkTJ+Lzzz+vLZUVhtmn6pkwYQLGjx+PjIwM2NjYYPTo0XB1dcWAAQNQVlaG3377DZaWlhLjFLXP58+fw8vLC2VlZbCwsEB4eDh8fX0lSlUPKZWOvD8xFAl4k56eLkptbGtrW2nfffv2Uc+ePYnP55OhoSE5OzvT8ePHZaaLriygSGlpKa1YsYLatm1LmpqaZGZmRjNnzqw0PTYRUUlJCW3dupWcnZ3J2NiYNDU1qVWrVtSzZ09avHgxJScny/W66wJFA968izCDrLSAN2VlZWRkZETa2trVCjYSHR1NgwYNEqXj7tatG23atIkEAkGl41QR8IbZZ+0hr30KBALauHEjdevWjXR0dMjQ0JAGDRpEZ86ckdr/xYsXxHEcffDBB5SXlyeXLsK/UVVFVkp6otoJeNPgoow1dWridCvj0qVLBIC++uorpcqtisYWZaypU1v2uW/fPgJAv/zyi1LlVkVtOF0WT7eBcuTIEVHcgx07dsh1G6kyzp49CwMDA3z77bdK0K5qhEG+hcfYGI2L2rBPKysrzJgxQwnaVU1t2idzug2U69evi4LIbNu2rcZGvWTJEixZskQZqsmFoseWGA0LZdvn77//rgy15KY27VMRp0vSDnAz6hbh5n9DhxQ8AlVeXl5pO7PN+kFTtE+BQKBQf7m/fsrKynJUHbSE0XR5/fp1KQBZd27z8/Pz6/YCPYPxL3l5edDQ0JB9r/k95Ha6BQUFqYmJiQ0ncCejUZGYmFgO4I6M5ownT55oC+/sMxh1SUpKCgQCQZq8/eV2ugKBIPzgwYNyZZ5lMJTJvXv3hHf1pQYNIKLXOjo6ySdOnKhbxRgMAP+/vTvmUSIIAzD8zS6RTS5AYrDnfgKxspKKCvwL2Bh7WxISOq6kvYpcYmEiCcWF6wixpqDQhhgNFlbk2EVuZcmyn5VanbAnN4W+Tz2z2WLzFvMls71eb+X7/sWh6w+Orqp+dhznY7fb/fPhGnBESZJIs9mMXNd9o6q3fnvL5fK83W7fcAQGm0ajkUynU1dErg7dk2qkuFqtnrVaretOp7MLwzD1CwJpLBYLaTQam+Fw+H69Xr/as/xiPp+/rVQqNz+vRATuSxzH0u/3pV6vh1EU1VT1+6F7TdopsjHmtFAovI6i6HG1Wt2Wy+WTfD5vbF8EjH/TbrcT3/d1PB6vJ5PJA8/zLoMgeK6qewcVxhgnl8udxXH8slQqaa1WOykWi+59/AUZ/x9VlTAMZTabbQaDgTiO8yUIgheq+m7/7t9SR/fXRmMeiUjdcZxTz/MeEl0cQ5IkyWazWajqBxG5UtXU0zFjTEZEnorIk2w2W8xkMlQXf01VZbvdfovj+KuIXKrqp7s8587RBQCkd/RbxgAAtyO6AGAR0QUAi4guAFhEdAHAIqILABYRXQCwiOgCgEVEFwAsIroAYBHRBQCLiC4AWER0AcAiogsAFhFdALCI6AKARUQXACwiugBgEdEFAIuILgBY9AMH3C4a4zPA4wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Weak learner 3 training accuracy: 0.8333333333333334\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt1 = DecisionTreeClassifier(random_state=0, max_depth=1)\n",
    "dt1.fit(features1, labels1)\n",
    "print(\"Weak learner 1 training accuracy:\", dt1.score(features1, labels1))\n",
    "tree.plot_tree(dt1, rounded=True)\n",
    "plt.show()\n",
    "utils.plot_model(features1, labels1, dt1)\n",
    "\n",
    "dt2 = DecisionTreeClassifier(random_state=0, max_depth=1)\n",
    "dt2.fit(features2, labels2)\n",
    "print(\"Weak learner 2 training accuracy:\", dt2.score(features2, labels2))\n",
    "tree.plot_tree(dt2, rounded=True)\n",
    "plt.show()\n",
    "utils.plot_model(features2, labels2, dt2)\n",
    "\n",
    "dt3 = DecisionTreeClassifier(random_state=0, max_depth=1)\n",
    "dt3.fit(features3, labels3)\n",
    "print(\"Weak learner 3 training accuracy:\", dt3.score(features3, labels3))\n",
    "tree.plot_tree(dt3, rounded=True)\n",
    "plt.show()\n",
    "utils.plot_model(features3, labels3, dt3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(dt1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(dt2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(dt3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training a random forest using sklearn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8333333333333334"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "random_forest_classifier = RandomForestClassifier(random_state=0, n_estimators=5, max_depth=1)\n",
    "random_forest_classifier.fit(features, labels)\n",
    "random_forest_classifier.score(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_model(features, labels, random_forest_classifier)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "****************************** Estimator ******************************\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/luisserrano/Documents/Book/code/manning/Chapter_12_Ensemble_Methods/utils.py:46: UserWarning: No contour levels were found within the data range.\n",
      "  pyplot.contour(xx, yy, Z,colors = 'k',linewidths = 3)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "****************************** Estimator ******************************\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "****************************** Estimator ******************************\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "****************************** Estimator ******************************\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "****************************** Estimator ******************************\n"
     ]
    },
    {
     "data": {
      "image/png": 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FRUUAUOXBBiFCQ7h+/foqV89vs3LlSowYMQIPHjzAwIEDYWBgAHt7e5w/fx6rVq0CIB5Y6NatW/j+++8xatQolWTgYKgPttJt4FS3squJ//XtFZiyiY+Px5YtWxTqM2rUKIwaNaradsIPmSdPnkitLywsRG5uLoyMjORyLURFRUFTUxNhYWEICwuTqC8uLoaHhwcAIDw8XBRZjc/nIyIiArGxsfjtt9+QlZUFS0tLTJgwAc+fPwcAMbdDTEwMXr9+jbS0NNF4Qu7cuQMAWLp0KTZs2IDRo0fjk08+qVZ2Rv2EGd0GTuvWrXHv3j08evRI6lf+zMxMNUhVNQ8ePFA4PbqNjY1cRtfIyAht2rRBZmYmnjx5IrFqv379OgDFQk2WlZXJPD4sEAhEddKyd3h6eoq2iAkR3vvbxhUA/vrrL5ly3Lp1CwBqtCOFUX9g7oUGTt++fQFA6rn8Bw8eyHXcVNUEBAQovKFc3t0LAODj4wMAUo/7Cp+TvF/hU1JSZMoEVO6GEP4sjzF89eoVtm7dCk1NTUyePFlUPn/+fJnzCNsdPnwYRIS1a9fKJTujfsKMbgPno48+gqamJrZv346LFy+KyouLizF37lyFdy40BubOnQsNDQ2EhITg3r17ovLExERs3rwZ+vr6mDJlilifK1euwM7ODgMGDFCKDOnp6cjOzhYre/HiBfz8/PD06VMEBwfL9MMzGjfM6DZwbGxssGLFChQXF8Pd3R39+/fH6NGj0a5dO9y6dQu+vr4AAC0tLTVLqjo6d+6MFStWIDs7G926dcPQoUPh5eWFfv36oby8HFu3bpXYnVFUVIS7d+8qFAGsKk6ePIlWrVqhd+/e8Pf3h5eXF6ysrHD69GlMmDAB33zzjVLmYTQ8mNFtBAQFBWH//v3o1q0bEhMTERcXh0GDBiExMVH0pl7aFrDGTHBwMI4ePQoHBwecP38ely9fhqenJ86ePYuxY8fW+fx9+vSBr68vnj59ihMnTuDatWvo27cvDh06hN27d9f5y0pG/YWl61ER6kjX8+rVK7Rt2xYlJSXIy8sDj8dT2dyMhgVL16M62MdtI+D+/fvIzc0VK8vPz8f06dORnZ2NDz74gBlcBqOewLaMNQIOHDiAZcuWoXv37nj33XeRk5ODlJQU5OTkwNraGitWrFC3iAwG4z+Y0W0EDB48GLdv38alS5dw8+ZNVFRUwNLSEh9//DGCg4NFAVgYDIb6YUa3EdCzZ0+FDxswGAz1wHy6DAaDoUKY0WUwGAwVwowuQ+18/fXX4DgOO3fuVLcoKiErKwvh4eEIDAxE9+7d0axZs2pTrN+6dQvfffcdPD090aZNG2hpaeGdd97BuHHjRPEkGA0D5tNlMFRMQkICpk2bplCf/v37459//kHz5s3Rs2dP9OrVC7du3cKBAwdw5MgR7Nq1C+PGjasjiRnKhK10GQwV07JlS8yaNQs7duxAamqqXMkn7ezssHv3bmRlZeHcuXM4evQobt++jQ0bNqC8vByBgYF48eKFCqRn1Ba20mUwVEyfPn3Qp08f0c/yHAmOjY2VGjN59uzZ+PXXX3H69GmcOnVKLHIZo37CVroNgISEBPj6+sLS0hLa2tqwsLCAs7MzlixZgpKSElG7kpIShIeHY9iwYWjbti34fD6MjY0xcOBAUVryt/Hw8ADHccjIyMDevXvh4OAAXV1dWFlZYfny5aIQhlevXoW3tzeMjIxgaGiI8ePHS11ZvTnezp070b17d+jq6sLCwgIzZsyQiLxVHQUFBfj2229hb28PXV1dGBgYwN3dHZGRkbV6Vg2NqtIPCUNKCtMAMeo5isY1ZVfNLgMDg2d3794lRYmIiCCO44jH45GLiwv5+/tT//796d133yUA9OzZM1Hb27dvEwCysLCgfv36kZ+fHzk7OxPHcQSANm3aJDG+u7s7AaB58+ZRs2bNqHfv3uTj40P6+voEgD7//HOKi4sjPp9PnTp1ouHDh4vm7t27NwkEAqnjzZo1iziOI1dXV/Lz86NWrVoRALKzs6OXL1+K9Vm6dCkBoB07doiVP3/+nDp37kwAqFWrVuTj40MeHh6ko6NDAGjlypU1flb1icmTJxMAOnz4cI36+/n5EQDatm1bjWXQ1tZ+DUCf6sHfSmO/1C5AU7lqanTd3NyI4zi6cuWKRN3FixepsLBQ9HNWVhbFxMRQRUWFWLukpCQyNjam5s2bU35+vlid0Ejq6+tTfHy8qPzOnTvE5/NJV1eXrKysaO3ataK6/Px8sre3JwB05swZqeNpamrSqVOnROVFRUU0dOhQAkAzZ84U6yPL6Hp7exMA+t///kelpaWi8nv37lG7du2Ix+PRX3/9VaNnVRU7duwgAApdS5culWtsadTG6N6/f5+0tbVJS0uLnjx5UmMZmNFV3cV8uvWc7OxsGBoaomfPnhJ1wqwRQkxNTTFo0CCJdo6Ojpg9ezaWL1+O2NhYUYzdN1mwYAFcXV1FP9va2sLHxwfHjh2DlZUV5s2bJ6rT19fHtGnTMHfuXMTHx0sN/D1mzBi8//77op91dHSwYcMGREdH45dffkFoaCj09PRk3ndycjKio6Ph6uqKlStXin297tChA1avXo1Ro0YhPDxclElBkWdVFXWZIl6ZlJeXIyAgAKWlpVi0aBHeeecdlcvAUBxmdOs5Tk5OuHXrFqZOnYqFCxeic+fOVbYnIpw7dw4XLlzA06dPUVpaCiISBedOS0uT2m/gwIESZe3atau2TpiN+G0++OADiTIrKyv06dMH8fHxuH79epVp2E+fPg0AGDlypFR/prDvlStXRGWKPitZ1GWKeGUyZ84cJCQkwNHRESEhIeoWhyEnzOjWc7777jukpqZi27Zt2LZtG1q2bAl3d3eMGDEC/v7+aNbs/3+FOTk58PX1RUJCgszxpCVPBCB1lSRciVZVV1paKnU8KysrmeXx8fHVvvTJyMgAACxatAiLFi2S2e7Nl3mKPKuGzrfffovNmzejffv2OHnyJLS1tdUtEkNOGo8WNlLeeecdXL16FefOnUNUVBQuXLiAQ4cO4dChQwgNDUVcXByaN28OoDJbQkJCAjw9PfHNN9+ga9euMDAwAI/Hw9atWzF9+nQQSQ9aX9W2JXVkORDmdnN1dZVpwAGIRVBT5FlVRV2miFcGGzduxNKlS2FhYYGYmBhYWFioZF6GcmBGtwHA4/EwaNAgkb82IyMDkydPRlxcHNauXYsvvvgCAPDrr7+Cx+MhMjISBgYGYmM8fPhQpTI/fvxYqp/z8ePHACpTx1eFMHX6hx9+iJkzZ8o9r7zPqirqMkV8bdm7dy/mzJkDIyMj/P777yI3D6PhwPbpNkCsra1FX7n/+usvUXlOTg4MDAwkDG55eTkiIiJUKuOhQ4ckyh4/fozExETo6OjA0dGxyv5eXl4AIHM/rrzIelZVUdcp4mtKVFQUAgICoKOjg6ioKLW8vGPUHmZ06zmhoaH4+++/xcqISHTY4c003h07dkROTo5Y4JSKigoEBweLpSJXBQcOHEBMTIzo55KSEsyZM0f0xr2qnQsA0KtXL3h5eSEmJgZBQUESvujy8nKcPHkScXFxojJFnlVDIy4uDv7+/qLAOC4uLuoWiVFDmHuhnhMSEoLg4GB07doVHTp0ABEhJSUF6enpsLCwwPz580Vtg4ODMWnSJIwZMwYuLi6wsLDAtWvX8Pz5c8yePRsbN25UmdzTpk2Dt7c33NzcYG5ujsTERDx9+hS2trZyv2nfs2cPvLy8EBYWhu3bt8Pe3h4tWrTAkydPkJaWhpcvX2LNmjXo168fAMWelbrp3bu36P/CnSWff/45Vq9eDQAYMmQIvvzyS1EbX19flJSUoG3btti7d69U94cq/cqMmsOMbj3np59+wqlTp3Dt2jXExMRAQ0MDlpaW+PTTT7FgwQKYm5uL2k6cOBGGhoYICQlBSkoKtLS04OLigoiICKSkpKhU7sWLF8PR0RHr1q3DlStXYGBggMDAQISEhMDY2FiuMVq0aIFLly5h8+bNOHjwIJKTk1FWVobWrVujd+/eGD58OEaPHi1qr8izUjeXL1+WKHtzO5+dnZ1YXV5eHgAgPT0d6enpUsdUlV+ZUTtYCnYVoY4U7OrAw8MDFy5cQHp6OqytrdUtDkNOWAp21cF8ugwGg6FCmNFlMBgMFcKMLoPBYKgQ9iKNoVTOnz+vbhEYjHoNW+kyGAyGCmFGl8FgMFQIM7oMBoOhQpjRbUJkZGSA4zh4eHioWxSVIrzvN6/U1FSxNnfv3sWaNWswduxYtGvXTtQuKyur2vG3bdsGR0dH6OrqwszMDCNHjsSNGzeUeg9FRUViueL4fD5sbW2xYMECqbnqPv30U7H7bWq/8/oMe5HGaDKYm5uLoo8ZGRmJ1W3atAnr1q1TeMw5c+Zgw4YNMDAwgJeXF7KyshAZGYno6GicOXNGKTESCgsL4ebmhuTkZJiamsLDwwMaGhq4evUq1q5diyNHjuCPP/4Qi3vs4OCA8ePHo7CwsNZBgxhKRt35gprKVdMcacokPT2dAJC7u7ta5VA18tx3eHg4BQcH09GjR+nx48dkZWVFAOjFixcy+8TExBAAat++PT19+lRUfvDgQQJA1tbW9Pr161rLv2rVKpH8b+a4KywsFOWdmzFjhtS+8v7OWY401V1spctgAJgyZYrCfX744QcAwPfff49WrVqJyseMGYPdu3cjKioKkZGR8Pf3r5Vswkhqixcvhr6+vqhcV1cXS5YsQVRUFJKSkmo1B0N1MJ9uPeDy5cvV+t2Cg4PBcRx+/PFHUVlKSgqCgoLg4OAAU1NT8Pl8dOjQAQsXLkR2drbc8wcEBIDjOJl7bDmOkxlHISEhASNHjoS5uTm0tbVhbW2NuXPnSvUzNiaKi4sRGxsLHR0dDB06VKJeaGijoqJqPZc8qXhMTU1rPQ9DNTCjWw9wdnaGjY0N4uLi8OTJE4l6IsKBAwfA4/HEEj6uXLlS5Id0dXVF//79UVBQgDVr1qBv377Iz8+vU7l//PFH9OvXDydOnEDbtm3h4+MDTU1NrF+/Hs7OzjKTVjYG7ty5g9LSUnTp0gVaWloS9cIg7cp4oSZMDBoaGopXr/4/Hk1xcbEoTOakSZNqPQ9DNTCjW08YN26cyLi+TUJCAh4/fowBAwagZcuWovLp06cjMzMTycnJ+PXXX3Hq1ClkZGQgMDAQ9+7dQ1hYWJ3Jm5iYiAULFsDS0hJJSUm4fPkyIiIicO/ePXz11VdIT09XKH6tcLWtyKXO02+ZmZkAZAdGF6YbEqYnqg1Tp07F8OHDceHCBbRt2xZDhgzBsGHDYG1tjcTERKxZswbjxo2r9TwM1cB8uvWE8ePHY9myZdi/fz+CgoLE6vbv3w+gMl/Ym3h6ekqMo62tjXXr1mH79u04ceIEvvnmmzqRd9WqVRAIBAgPD0e3bt1E5RzH4euvv8bx48dx9OhRZGVlwczMrNrx+vbti/LycoVkePMDSNUIM1no6upKrRcmwJSVfVkRNDU1ceTIESxcuBDr16/HqVOnRHXu7u5wdnau9RwM1cGMbj3B1tYWTk5OSEpKwt27d2FrawugMi3N4cOHwefzMXLkSIl+z58/R2RkJG7evIn8/HxUVFQAALS0tMSCYisTgUCAc+fOwdDQEP3795eo5zgOLi4uSElJwfXr10X5zqoiMDAQgYGBdSFunUBUGYea47g6nysrKwu+vr5IS0vD7t274e3tDSJCdHQ0FixYgP79++P3338XZdBg1G+Y0a1HfPjhh0hKSsK+fftEK9SYmBhkZWXB399fIuHkrl27MGPGDBQXF6tUzqysLNEKjsfjVdm2sb5QE+4iKCwslFovLJcn5Xt1zJ8/H5cuXcLx48cxbNgwUfnEiRNhYGCAESNGYPHixVKzUTDqH8zo1iPGjh2LxYsXY//+/SKjK8u1kJGRgWnTpgEA1q9fDx8fH7Ru3Rp8Ph9AZYpzZbzIEggEMssMDAzEjIA0LC0t5Zpn69atYkkm5WHJkiXo1KmTQn2UhdCXK+3F55vl8t6/LMrLy3Ho0CFoa2tjyJAhEvVDhw6FtrY2rl69iuLiYujo6NRqPkbdw4xuPaJ169bw9PTE2bNnce3aNY+uGnAAACAASURBVHTp0gWRkZEwMjKCj4+PWNvffvsNr1+/xuLFi/HJJ5+I1RUXF+P58+dyzyt8+y7N/yh8YfQmZmZm4PP54PP52LNnj9zzVEViYqLUZItVMXXqVLUZXTs7O2hpaSE1NRVlZWXQ1NQUq79+/ToA1DpN+osXL1BWVgYTExNoaEi+9+bxeNDV1UVpaSny8vKY0W0AsN0L9Qzhinbfvn04fvw4CgoKMHr0aIltSTk5OQD+/y35mxw+fFjkc5QH4cb+u3fvStS9mUZdSLNmzeDp6Yl///0Xly5dknueqti5c6fCJ3vUGU9AR0cHnp6eKC4ulroX98iRIwAgdXWqCCYmJtDU1MTLly/x8OFDifr79+8jJydHFPeB0QBQ95G4pnLJeww4NzeX+Hw+tW7dmoYNG0YA6Ny5cxLtDh8+TACoZ8+eVFhYKCq/efMmtWrVigBQ5a/3/5F1JPTMmTOi46z//vuvqPzatWvUsmVLAkBWVlZifeLj40lDQ4PatWtHCQkJEvI9evSI1qxZU+39qoKaHH+W5xhwdHQ0ASAbGxt6/vy5qFz4u7GyspI4BhwbGyv1eVaF8KjvgAED6OXLl6Ly7Oxs8vDwIAA0btw4qX3ZMeD6d6ldgKZyKRJ7wc/PT2Q0W7duTRUVFRJtSktLqVOnTgSALCwsaOTIkTRgwADS1NSk0aNHi4zGm8j6AxQIBOTq6koAyMzMjIYNG0Z9+vQhTU1NCgoKkmkkNm3aRDwejwBQly5daPjw4TR48GCys7MjjuPI0NBQrvuta+QxPElJSeTs7Cy6tLS0CAA5OTmJyqKioiT6zZw5kwCQoaEhjRgxgtzc3IjjONLW1qYLFy5ItD979qzIUMtLWloamZubEwAyNjamwYMH0+DBg8nY2JgAkKWlJT158qTG907EjK4qL7UL0FQuRYzusWPHREZ34cKFMttlZWVRYGAgWVpaEp/PJ1tbWwoJCaGysjKFjC4RUU5ODgUGBpK5uTlpa2tTly5daNOmTUREVa7Mrl+/ThMmTKA2bdqQlpYWmZmZkYODA82bN0/qClgdyGN4hCvQqq4dO3ZI7bt161bq3r078fl8MjY2Jl9fX0pJSZHa9ocffiAA9O233yp0D0+fPqW5c+dShw4dSFtbm/h8PtnZ2VFQUBBlZWXJ7MeMbv27OCL5fX+MmmNoaPjs6tWrFh07dlS3KE2OjIwMtG3bFu7u7mrP4ebr64uLFy8iPT1dYgtgXSDvvfP5/LLS0lJTInolsxFDKbAXaQyGiqioqEBcXByCgoJUYnAZ9RNmdFUEx3ECaXteGarjwoULMjNHqAIej4fc3Fx89tlndT6XMHNE27Zt5WovEAg4VLpRGHUM26erIng8XkFubq66xWiSNG/eHOPHjxcreztzRGNDmDlCSFX7mV+/fo3y8nINANKP1zGUCvPpqghDQ8M9X3755YdBQUF1f1ifwVCA2NhYjBw58n5ubm4HdcvSFGDuBRWRn5+/65dffmEvKRj1jn379pUUFhbuULccTQVmdFVHbHp6+qs1a9ZUqFsQBkPI6dOnsW/fvvLy8vJ96palqcDcCyqE4zgrPT29yxMnTjT5+OOPNXv06KGS0IAMxtvcv38fBw4cEHz33XfFRUVF3kSUoG6ZmgrM6KoYjuNa8/n8eZqamhM1NDSMzMzMXsuTA0sNaAgEguYaGhoFANi2C/nhBAJBc47jSjiOK1O3MG9TVlaG3NzcZgUFBRU8Hu9IQUHBOiKqfU4hhtwwo6smuMolbhsAZgAkk2ypF10AOwDsBPCbekVpkNgCWANgOgDJMG3qpQJALoCHRMRcXWqAGV2GGP99GBwC8JKIpqtbnoYKx3GBAOYA6E1EbCsWQwQzugwxOI6bD2AiABciKlG3PA2V/z68dgLgAEwm9ofG+A9mdBkiOI5zAXAMlauzdHXL09DhOE4XwB8ANhLRFnXLw6gfMKPLAABwHGcOIAnADCI6qW55Ggscx3UEkADAh4iuqVsehvph+3SbGBzHNec47v23yngA9gP4hRlc5UJE9wDMAHCE4zjTN+s4jnPiOK6deiRjqAtmdJseXgBmvlX2LSqDnSxVvTiNHyI6BuAogN0cx735NzcMwBT1SMVQF8zoNj0cAVwX/sBx3FAAkwB8yLYQ1SmfAtAH8PkbZddR+ftgNCGY0W16iIwux3FtAWwD8AER/atWqRo5RFQG4AMAsziOG/hf8XUAThw7ltikYEa3CfHfH7cTgOscx/EBHAHwHRElqleypgERPQUwHpVuhncB/P1fVWv1ScVQNczoNi1aoXLf6N8A1gF48N+/4DiuGcdxIziOY3m8lQjHcTyO48ZxHKcHAEQUC+BHVB5A0QRzMTQ5mNFtWjgCSEbl4QcPAFMBaHIc9zGA2wAWAeCrTbrGCQ/AcAAPOY5bwnGcIYBVALIBfI/K34eDGuVjqBhmdJsWjqiMBRAGYBwqjW8agLEAphCRGxE9UaN8jQ4iek1EY1H5IWeLym8X3wCYD8AXgDbYSrdJwQ5HNCE4josC0APAWQCeAK4BCCGiy2oVrAnx377cYACjAUSh0vAWExHz6zYR2Eq3aeEJwBSVvkQfIvJlBle1ENHD/wIJdUdltC8tAK04jntHvZIxVAVb6TYhOI47AGAFi59af+A4riWA9QBmElG2uuVh1D3M6DIYDIYKkTsFO8dxRgAGoXLbEXvDzVAlBQDSAZwjolJFOnIcZ4JKvW0JpreMmkEAXgG4BeBibU9uVrvS5Tiuo5GR0Zbi4uI+ffv2fd2xY0fN5s2by22sGYzaIBAIKD8/vzw5Obns5s2bmnw+/0ReXt50Isqtqh/HcV2MjY23FBUV9XB1dS21sbHRYnrLqAkVFRWUk5NTnpiYWP73338LNDQ0fikoKAj675Sh4hCRzAuAra6ubnZYWFhFXl4eMRjq5OnTpzRlypRSfX39VABGJFtvu+rq6uauX79e8OrVK3WKzGhk3Lt3jwYMGFCor68fBUCTqrCfsq6qDC7XvHnz9K1bt1ao+L4YDJkIBAKaNm1aiYGBwWGSobd6enrPdu/eLVCroIxGS0lJCfXr169IU1PzM6qB0ZXpXuA47r0WLVok/vPPP3osHgejPvH8+XNYW1uXlJaWGtNbKYU4juvdpk2b048ePWrO9JZRV8TFxcHX1/dhbm5ue0X7ytynq6Wl5T9+/HgtpriM+oaFhQXs7e1fAxj4dp2Ojs6YSZMm8ZneMuoSFxcXoHJ/tfKMrp6eXudu3bpp1kYwBqOucHR01ALQ9u1yXV3dzvb29uyFGaNO4fF46Nix42tI0cHqkGl0NTQ0DJo3b14rwRiMusLIyEgTlUHB30af6S1DFRgYGACAwspW5THg+vQVzdraWmnycBwHa2trpYylTCIiIuDq6gp9fX0YGRnBy8sLFy5cqPW4ZWVlsLe3B8dxqM4gKSpDUVERvv32W9jb20NXVxd8Ph+2trZYsGABXrx4UWvZZaGhoSFVGTiOq1d6WxVMpxWjvLwcoaGh6Ny5M3R0dGBhYYGJEyfi0aNHSpZaPmocfF7WGzZTU9PTR44cUelbwaqwsrKiSnFrDwCysrJSyljKYvXq1QSA+Hw+DRkyhAYMGEA8Ho80NDTo0KFDtRo7JCSEOI4jAKSnp6c0GQoKCsjBwYEAkKmpKb3//vs0ZMgQMjc3JwD07rvv0pMnT2oluyw+/fTTCgCf01t6a2ZmdvHkyZN1MqeyYTotPxUVFeTr60sAyNzcnEaNGkWOjo4EgExMTOjevXt1dBeyGThwYB6AEaSsLWP1zejev3+fbt++rZSxbt++Tffv31fKWMrg9u3bxOPxyMTEROwe4+PjSUtLiwwMDCg7O7tGY6elpRGfz6dp06ZVaXRrIsOqVasIALm7u1N+fr6ovLCwkIYOHUoAaMaMGTWSuzoag9FlOi2/Tm/dupUAkLOzs5iuCXXQxcVFqfLLQ6M3uo2ZGTNmEAAKCwuTqPvkk08IAH3//fc1GnvgwIFkZmZG2dnZVRrdmsgwZMgQAkBRUVESfS5dukQAqGfPnjWSuzoag9FtzChbp+3s7AgAXbt2TaxcIBCQvb09AaArV67UWm5FqKnRVVtoxwMHDqBHjx7Q0dFBy5YtMWnSJDx79gwBAQHgOA7nz58Xay/N/3X+/HlwHIeAgAC8fPkSM2fORKtWraCtrY2uXbti+/btUueub/6vkydPAgD8/f0l6oRlUVFRCo+7a9cunDlzBqGhoTAxMVG6DNra2tXKYGpqKq+4DR6m0/+PMnX64cOHuHPnDtq3bw8nJyexOo7jMHr0aIXGUzdq2VoTFhaGoKAg8Hg8uLm5wcTEBKdPn0ZcXBy6d++u8Hh5eXno27cvsrOz0bNnTxQUFODixYuYMmUKBAIBpk6dWgd3oRxyc3ORmZkJMzMztGnTRqJeqGQ3bigWjTE7OxuLFi2Cm5sbAgIC6kSGgQMH4tixYwgNDUW/fv2gr1+5maC4uBghISEAgEmTJikkd0OF6fT/o2yd/vPPPwEADg7Ssxo5OjoqNJ7akbUEriv3QlpaGmlqapKOjg4lJCSIyouKisjHx4dQGdGHYmNjxfpJe+kQGxsraj9y5Eh685z9kSNHCABZWlqSQCB+IhQKvnTYsWOHaB55r6VLl8o19p9//kkAyMHBQWYbQ0NDAiDmy6qOSZMmkaamJqWmporKIMO9UFMZXr9+TcOHDxe9SPPx8aGhQ4eSubk5mZiY0Jo1a+SWV1Hqk3uB6bQ4ytbpdevWEQBasGCB1Prk5GQCQI6OjnLJpyxq6l5Q+Up3x44dKCsrQ2BgoPBUBwBAR0cHP/74I6KjoyEQCBQa08DAAD///LPYdig/Pz907doVqampyMjIQNu2Cu9hFtG+fXuMHz9eoT7vvfeeXO0KCgoAALq6ujLbNG/eHHl5eSgoKBCtJqvi3Llz2LVrF4KDg9GlS5c6k0FTUxNHjhzBwoULsX79epw6dUrU3t3dHc7OztXO3RhgOi2OsnW6uvGEz0jYrr6jcqObmJgIQLqvp3379nBwcEBSUpJCYzo5OUn1HXbs2BGpqal49uxZrRTUzc0Nbm5uNe5fFfRf7IuqtvwJ28hDSUkJZsyYASsrK3z11Vd1KkNWVhZ8fX2RlpaG3bt3w9vbG0SE6OhoLFiwAP3798fvv/+Ofv36yS1/Q4TptDjK1unqxlNkrPqAyl+kPXv2DACk+noAwNLSUuEx3333Xanlwk/Q169fKzymqhDKWFhYKLNNUVERAFR7sAEAli9fjrS0NKxfv77KlYYyZJg/fz4uXbqE7du3Y8KECTAzM0OLFi0wceJEbNu2DSUlJVi8eLFcMjRkmE6Lo2ydrm48RcaqD6h8pVsXn1oaGnX72REfH48tW7Yo1GfUqFEYNWpUte2Ef5BPnkjPfF5YWIjc3FwYGRnJ5VqIioqCpqYmwsLCEBYWJlFfXFwMDw8PAEB4eDhsbGxqJEN5eTkOHToEbW1tDBkyRKLP0KFDoa2tjatXr6K4uBg6OjrVyt5QYTotjrJ1WvhhJms8YXlNPtzUgcqNbuvWrXHv3j08evRI6tejzMxMVYtULQ8ePMDevXsV6mNjYyOXghoZGaFNmzbIzMzEkydPJFY4169fByC/Pw2oPPYr66ilQCAQ1Ql9YDWR4cWLFygrK4OJiYlUA8Hj8aCrq4vS0lLk5eU1aqPLdFocZet0t27dxPq9TU3+RtSJyt0Lffv2BQAcOXJEou7BgwdITk5WtUjVEhAQoHCg4q+//lru8X18fAAAhw8flqgTPidpq0lppKSkyD4JA0BPT0/085tbmRSVwcTEBJqamnj58iUePnwo0ef+/fvIycmBrq4uzMzM5JK9ocJ0WhJl6nS7du1ga2sr81kqOp66UbnR/eijj6CpqYnt27fj4sWLovLi4mLMnTtX4be8jYG5c+dCQ0MDISEhuHfvnqg8MTERmzdvhr6+PqZMmSLW58qVK7Czs8OAAQPUIoO2tjYGDx4MAAgMDEROTo6o7uXLl5g2bRoAYPjw4WjWrHFHWmQ6LYmydXrBggUAgNmzZ4vtUli9ejVu3LiBPn36oFevXnV0N8pF5UbXxsYGK1asQHFxMdzd3dG/f3+MHj0a7dq1w61bt+Dr6wsA0NLSUrVoaqNz585YsWIFsrOz0a1bNwwdOhReXl7o168fysvLsXXrVok32UVFRbh79y4ePHigNhnWrFkDc3NznD17Fu3bt4e3tze8vb1hY2OD8+fPw9LSEqGhoUqRrz7DdFoSZev0tGnTMGTIEFy6dAk2Njbw8/NDjx49sHjxYhgbG8s8qVcfUcsx4KCgIOzfvx/dunVDYmIi4uLiMGjQICQmJoreRDal46MAEBwcjKNHj8LBwQHnz5/H5cuX4enpibNnz2Ls2LH1UgYbGxukpKRg7ty5MDMzw/nz53HhwgW0bNkSQUFBuH79Ot555x2VyK5umE5Lokyd1tDQQGRkJFauXAljY2OcPHkSmZmZGD9+PK5fvw47O7s6uos6QJb/Rh0Bb/Lz88nU1JT09PSovLxcpXMzGhb16URaVTCdbrw0qIA39+/fR25urlhZfn4+pk+fjuzsbHzwwQfg8XjqEI3BqBFMpxnyopY3HAcOHMCyZcvQvXt3vPvuu8jJyUFKSgpycnJgbW2NFStWqEMsBqPGMJ1myItajO7gwYNx+/ZtXLp0CTdv3kRFRQUsLS3x8ccfIzg4GC1atFCHWAxGjWE6zZAXtRjdnj17Krwxm8GozzCdZsiL2oKYMxgMRlOEGV0Gg8FQIczo1pCvv/4aHMdh586d6hZFJWRlZSE8PByBgYHo3r07mjVrBo7jpB59fZu4uDh4eXmJApy4uroiIiJCBVIz3qap6e3Vq1fx5ZdfwsXFRZT2yNraGlOnTkVaWppaZGrc5zMZSiMhIUF0tFcRDh06hHHjxoHjOHh6ekJbWxtnzpzBqFGjsHr1aixatKgOpGUwKmNLC48GGxsbo2fPntDV1UVKSgq2bduG/fv34+TJk6Koe6qCrXQZctGyZUvMmjULO3bsQGpqKiZOnFhtn+zsbEybNg3NmjXD+fPncfr0aURFRSElJQXGxsYIDg7G3bt3VSA9o6nSs2dPREZG4sWLF/j9998RERGB+/fv49NPP0VRUREmTpyo8tjEzOgy5KJPnz7YuHEjAgIC0KVLF7nivYaHh4sOCLi6uorK7ezssGTJElRUVODHH3+sS7EZTRg+n48rV65g+PDhYgdTeDweVqxYAVtbWzx58gSXLl1SqVx1ZnQTEhLg6+sLS0tLaGtrw8LCAs7OzliyZAlKSkpE7UpKShAeHo5hw4ahbdu24PP5MDY2xsCBA0VpnN/Gw8MDHMchIyMDe/fuhYODA3R1dWFlZYXly5eLwhhevXoV3t7eMDIygqGhIcaPH48XL15UOd7OnTvRvXt36OrqwsLCAjNmzEB2drZC915QUIBvv/0W9vb20NXVhYGBAdzd3REZGVmrZ9XQEP7+xowZI1FXm9TydQnT26ahtxzHieLvPn36VLWTyzofXJvYCxEREcRxHPF4PHJxcSF/f3/q378/vfvuuwSAnj17Jmp7+/ZtAkAWFhbUr18/8vPzI2dnZ+I4jgDQpk2bJMZ3d3cnADRv3jxq1qwZ9e7dm3x8fEhfX58A0Oeff05xcXHE5/OpU6dONHz4cNHcvXv3lsikKhxv1qxZxHEcubq6kp+fH7Vq1YoAkJ2dHb18+VKsz9KlSwkA7dixQ6z8+fPn1LlzZwJArVq1Ih8fH/Lw8CAdHR0CQCtXrqzxs6pPTJ48mQDQ4cOHZbYRZnwtKCiQWm9mZkYAKDc3V+H56yL2AtPbxq+3b+Lk5EQA6OzZszXqX9PYC3VidN3c3IjjOLpy5YpE3cWLF6mwsFD0c1ZWFsXExFBFRYVYu6SkJDI2NqbmzZtLpGkWKpu+vj7Fx8eLyu/cuUN8Pp90dXXJysqK1q5dK6rLz88ne3t7AkBnzpyROp6mpiadOnVKVF5UVERDhw4lADRz5kyxPrKU19vbmwDQ//73PyotLRWV37t3j9q1a0c8Ho/++uuvGj2rqqjLlNrSqM7o5uXlEQAyNjaWOUa3bt0IAN24cUPh+evC6DK9bfx6KyQ+Pp4AkKmpKRUXF9dojHqVgj07OxuGhobo2bOnRJ0wyr4QU1NTDBo0SKKdo6MjZs+ejeXLlyM2NlYUk/RNFixYIOYrtLW1hY+PD44dOwYrKyvMmzdPVKevr49p06Zh7ty5iI+PlxooecyYMXj//fdFP+vo6GDDhg2Ijo7GL7/8gtDQUOjp6cm87+TkZERHR8PV1RUrV64Uy5nVoUMHrF69GqNGjUJ4eDjWrl2r8LOqirpMqV0T5E3D/WZbdcP0tmnobX5+Pj7++GMAlVvo+Hx+rcZTlDoxuk5OTrh16xamTp2KhQsXonPnzlW2JyKcO3cOFy5cwNOnT1FaWgoiEgUzlrWfbuDAgRJl7dq1q7ZOmL31bT744AOJMisrK/Tp0wfx8fG4fv16lWmrT58+DQAYOXKk1CSFwr5XrlwRlSn6rGRRlym1awIpOQ23KmB62/j1tqKiAh9++CHS0tIwZMgQzJ49W2VzC6kTo/vdd98hNTUV27Ztw7Zt29CyZUu4u7tjxIgR8Pf3F0vfkpOTA19fXyQkJMgcT9ZKSFqAbOEnelV1paWlUsezsrKSWR4fH1+twz0jIwMAsGjRoir3n775UkSRZ9WQUHYablXA9Lbx621gYCBOnjyJXr164eDBg1UuCuqKOnky77zzDq5evYpz584hKioKFy5cwKFDh3Do0CGEhoYiLi5O9IcWHByMhIQEeHp64ptvvkHXrl1hYGAAHo+HrVu3Yvr06TJXRFVtW6rrFNbSEObCcnV1lfmHAEAs4pQiz6oq6jKldk0wMDCAoaEhcnJyUFhYKPXrbX1Lnc30tnHr7eLFi7F9+3Z06tQJp06dqtLlUpfU2ccRj8fDoEGDRH6vjIwMTJ48GXFxcVi7di2++OILAMCvv/4KHo+HyMhIGBgYiI0hLctsXfL48WOp/qLHjx8DqEy1XRXCVNMffvghZs6cKfe88j6rqqjLlNo15b333kN8fDySk5PFfJhApcHNysqCpaUlDA0N60wGRWF62zj1dsWKFVi9ejUsLS0RExOj1tRJKvtYtba2Fn11+euvv0TlOTk5MDAwkFDc8vJylZ/PP3TokETZ48ePkZiYCB0dHTg6OlbZ38vLCwBk7muUF1nPqirqOqV2TagqDbewrL6nzWZ6Kz/1VW83b96MJUuWoEWLFjh9+rToQ0Zd1InRDQ0Nxd9//y1WRkSiTeNt2rQRlXfs2BE5OTligVMqKioQHBwslrpZFRw4cAAxMTGin0tKSjBnzhyUl5cjICCg2q8jvXr1gpeXF2JiYhAUFCTh0ysvL8fJkycRFxcnKlPkWTU0pk6dCn19fWzZsgWJiYmi8rt372L58uXQ0NDAnDlz1CihOExvG5/eHjx4ELNnz4aBgQGio6PRsWNHdYtUN+6FkJAQBAcHo2vXrujQoQOICCkpKUhPT4eFhQXmz58vahscHIxJkyZhzJgxcHFxgYWFBa5du4bnz59j9uzZ2LhxY12IKJVp06bB29sbbm5uMDc3R2JiIp4+fQpbW1uEhITINcaePXvg5eWFsLAwbN++Hfb29mjRogWePHmCtLQ0vHz5EmvWrEG/fv0AKPas1E3v3r1F/xe+of/888+xevVqAJWr1i+//FLUxszMDFu2bMGECRPQr18/9O/fH1paWjh79ixKSkqwatUqdOrUSbU3UQVMbxuX3v7777+YOHEiBAIBrKys8MMPP0htN336dJXuoKgTo/vTTz/h1KlTuHbtGmJiYqChoQFLS0t8+umnWLBgAczNzUVtJ06cCENDQ4SEhCAlJQVaWlpwcXFBREQEUlJS6kI8mSxevBiOjo5Yt24drly5AgMDAwQGBiIkJATGxsZyjdGiRQtcunQJmzdvxsGDB5GcnIyysjK0bt0avXv3xvDhwzF69GhRe0Welbq5fPmyRNmb26KkpcEeN24cWrVqhZCQEFy+fBkVFRVwcHDAokWL4OfnV6fyKgrT28alt0VFRSgrKwNQ6e6Q5fIYOHCgardbyvKbqCMFu7oQnuxJT09XtygMOWkoKdjrEqa36qVBpWBnMBiMpgozugwGg6FCmNFlMBgMFVI/z+qpmPPnz6tbBAZDYZjeNkzYSpfBYDBUCDO6DAaDoUKY0WUwGAwVUq+NbkZGBjiOU3mKZHUjvO83r9TUVLE2d+/exZo1azB27Fi0a9dO1C4rK6va8bdt2wZHR0fo6urCzMwMI0eOxI0bN+rqdgBUhgIUyvjm0Vkh0dHREvfcUGF6K1tvgcpjxaGhoejcuTN0dHRgYWGBiRMn4tGjR3Uq3/Tp00VyXbt2TaJ+8+bNYrJbW1vXiRzsRVo9xtzcXBTBycjISKxu06ZNWLduncJjzpkzBxs2bICBgQG8vLyQlZWFyMhIREdH48yZM3BxcVGK7G/y4MEDLFu2DBzHyQx32Lp1a1EGgcjIyCrj8DLqN1XprUAggJ+fH44fPw5zc3P4+PggIyMDe/bswalTp/DHH3+gQ4cOSpfp4sWL+Pnnn6vUwY4dO4p0UNHIZwoh69REfTiRlp6eTgDI3d1drXKoGnnuOzw8nIKDg+no0aP0+PFjsrKyIgD04sULmX1iYmIIALVv356ePn0qKj948CABIGtra3r9+rUyb4WIiAYNGkTm5ubk6+tbbTJLIhLdS1XU5xNpTG/dZbbZunUrASBnZ2exHHKrVq0iAOTi4qJ0uV6/fk2dO3emzp07U9++fQkAXb16tco+AMjKyqrKNuxEWhNjypQpWLlyJUaNGiV3RCdhwI/vv/8erVq1EpWPGTMGQ4cORUZGRq3D+73N7t27cfr0aaxevVru/+tkiQAAC3ZJREFUOACMxotQBzdu3CjKLgJUxo+wt7fHxYsXcfXqVaXOuXLlSty6dQubNm2CpqamUseuCTUyupcvX67WZxUcHAyO4/Djjz+KylJSUhAUFAQHBweYmpqCz+ejQ4cOWLhwIbKzs+WePyAgABzHydynWJU/JiEhASNHjoS5uTm0tbVhbW2NuXPniqUiaYwUFxcjNjYWOjo6GDp0qES9v78/ACAqKkppc2ZnZ2PRokXw8PDAxIkTlTZuTWF6q14ePnyIO3fuoH379nBychKr4zhOFFBHmTqYlpaGkJAQTJ48WRQhTd3UyOg6OzvDxsYGcXFxopQrb0JEOHDgAHg8nljSvJUrV4r8kK6urujfvz8KCgqwZs0a9O3bF/n5+TW8Dfn48ccf0a9fP5w4cQJt27aFj48PNDU1sX79ejg7O8tM/NcYuHPnDkpLS9GlSxdoaWlJ1AsDXSvzhVpQUBDy8vLw008/KW3M2sD0Vr38+eefAAAHBwep9XWhg9OnT4eenh5CQ0OVNmZtqbF7Ydy4cSIlfZuEhAQ8fvwYAwYMQMuWLUXl06dPR2ZmJpKTk/Hrr7/i1KlTyMjIQGBgIO7du4ewsLCailMtiYmJWLBgASwtLZGUlITLly8jIiIC9+7dw1dffYX09HSFYoAKVy2KXOo8QZSZmQlAdnBpYTR9YYqX2hIbG4udO3ciKCioXsXMZXqrPr1VtQ7u2LEDsbGxWLlypVh+N3VT490L48ePx7Jly7B//34EBQWJ1e3fvx9AZc6lN/H09JQYR1tbG+vWrcP27dtx4sQJfPPNNzUVqUpWrVoFgUCA8PBwdOvWTVTOcRy+/vprHD9+HEePHkVWVhbMzMyqHa9v374oLy9XSIY3/5BVjTAbgK6urtR6YRJBWRlsFaG0tBTTp09H27Zt5cqTpUqY3qpPb1Wpgy9evMDixYvRp08fTJ06tdbjKZMaG11bW1s4OTkhKSkJd+/eha2tLYDKPXiHDx8Gn8/HyJEjJfo9f/4ckZGRuHnzJvLz81FRUQEA0NLSEguIrUwEAgHOnTsHQ0ND9O/fX6Ke4zi4uLggJSUF169fF+WMqorAwEAEBgbWhbh1Av23TUYV+1+XL1+OtLQ0REVFQUdHp87nUwSmt+rT2+p0UFivDBYuXIi8vDxs2rSp3u35rtU+3Q8//BBJSUnYt2+f6JM+JiYGWVlZ8Pf3l0jat2vXLsyYMQPFxcW1mVZhsrKyRJ+ePB6vyrYN6cWEIgjfFMva/yoslydtdlXcunUL33//PUaNGlVvk04yvVUP1elgUVERgNrr4JkzZ7Bnzx4sXLhQ7NtBfaFWRnfs2LFYvHgx9u/fL1JeWV/RMjIyMG3aNADA+vXr4ePjg9atW4PP5wOo3ByvjBcCAoFAZpmBgQGGDRtWZX9LS0u55tm6datYoj55WLJkidr8m0I/mrQXSG+Wy3v/soiJicHr16+RlpYmsUvgzp07AIClS5diw4YNGD16ND755JNazVcTmN6qR29VpYPC3Q/x8fESOihMpTR9+nTo6+vjk08+EUtDpApqZXRbt24NT09PnD17FteuXUOXLl0QGRkJIyMjUfptIb/99htev36NxYsXS/yhFRcX4/nz53LPK3z7Ls33I3TWv4mZmRn4fD74fD727Nkj9zxVkZiYqPCplalTp6rN6NrZ2UFLSwupqakoKyuT2K94/fp1AMB7772nlPmqSsF969YtAED37t2VMpeiML1Vj94KV51CXXsbZetgVft9hXONGDFCKXMpQq0PRwhXBvv27cPx48dRUFCA0aNHS2xLysnJAQCpOecPHz6skD9HuLH/7t27EnVvpqIW0qxZM3h6euLff//FpUuX5J6nKnbu3KnQKRQiUutZfB0dHXh6eqK4uFjqPkhhPITaugTmz58v8/4nT54M4P9/32vXrq3VXLWB6a3q9bZdu3awtbXFgwcPkJycLFGvLB1cu3atzHtxd3cHUGmQiUgtWYtrbXT9/PzA5/Nx8OBB0Sfo21/RAIjyze/Zs0fkuwEqVz2ffvqpQnMKNzlv2rRJzJeVlJQklgL8TT7//HNoaGhgwoQJuHjxokT948eP1WoEVMGCBQsAAP/73//wzz//iMqPHDmC48ePw8rKSuIl0vnz5+s0+Ie6YHqrHoQ6OHv2bLEV/+rVq3Hjxg306dMHvXr1Euuzc+fOxhVASNYngiKxF/z8/AgAAaDWrVtTRUWFRJvS0lLq1KkTASALCwsaOXIkDRgwgDQ1NWn06NFSz9vLOsstEAjI1dWVAJCZmRkNGzaM+vTpQ5qamhQUFCTz3PSmTZuIx+MRAOrSpQsNHz6cBg8eTHZ2dsRxHBkaGsp1v3WNPGfYk5KSyNnZWXRpaWkRAHJychKVRUVFSfSbOXMmASBDQ0MaMWIEubm5EcdxpK2tTRf+r737CWnkDMMA/kyysSq5RIRQe5CARUE82aO3eihoLhYKoqinoGC9SBEvRXQLIoggXSmKFIpSqBdBRBEDVS+NohdFpbSiaOmhgskYd/NnZt49LIrb/DHR5Ft1nx940ZnJF3h5GL/55v3W1hKO9/v9AkAqKioe/L3a29sfVe8F1m1uZVK3pmlKQ0ODABC32y1NTU1SW1srAMTlcsnBwUHCOdPT0wJA6uvrHzzG6x2Un3zvhevOPMC7hxQ2W+JlCwoKsLGxAZ/Ph4KCAiwtLeHs7AwDAwM3DzEypWkaFhYW4PP5YLPZsLKyAl3XMT4+nvbNk87OTmxtbaG1tRW6rmNpaQnb29soKipCT08PFhcXsxrHh6TrOgKBwM1PLBYDgJsF9IFAIOkT7YmJCUxOTsLj8WB5eRl7e3vwer0IBAJJX5O8fouora0tv1/oA2Ddqmez2TA/P4/h4WG4XC4sLi7i9PQULS0t2NnZQVVVVcI5z64GU6XxY+gy9rF6TF2qvF6vlJSUSCgUUvaZT73L2McqX3VbU1MjlZWVYhhGTq+bDvJ4p8t+upSSaZpYX19HX19fwtpVIhXOz8+xt7eH2dnZO9cqPxXpphck2dpBUmdtbS1tB/58s9vtCAaD6O/vz/tn3d45IpMdBEzTvJ6PfY+IJF3zSurksm5LS0thWRaam5tzNLrUbu8ckQnLsu71Cl3KO13TNEP57p5EyTmdzvfmG4HEDvzPze2dIzJxcXERA5BQoCISury8zOXQKENPvW5v7xwB4M4mOaFQCEhSg3fRJMU6Q4fD0d/R0fH91NRUYbYXJcq36upqfX9//2sRWb39+8LCwpddXV3fjY2NJfavJMqReDwOl8sVubq6+lxEkr9il0LK6QXDMObm5ubkurEH0WNxfHyMo6MjG4Df//+3aDT628zMjJHqZoIoF/x+PxwOx9/ZBi6QJnRF5C8R+XNwcDD+sOER5U48Hkd3d/cbh8Pxq4gk61G4G4lE/hkZGcmufyFRhoLBIHp7e1/ruv7qPuenXaer6/pXo6Oj/3Z3dxv5al9HlAkRwebmJhobG9+sr6//cXl5+W2K4yQcDn85NDT0X29vr3l0dKR6qPRMGYaB1dVV1NXVvT45OfnFsqyf7nOdlHO6NwdomtvpdL40TfMbt9uteTweq7i4WNMeW5NKepZERHRdl8PDwxeRSCQUi8V+jkajQyISTXeepmmfOZ3OH0zTbCorK5Py8nIpLi7mRqyUNcuyJBgMyu7u7id2u/0kHA7/aBjGK7nnHNadoXtzoKbZAdQC+BQAH66RSmEAxwD2sy10TdNeAPgCgBusW7ofwbtVCocicvzQi2UcukRE9HD8d4uISCGGLhGRQgxdIiKFGLpERAoxdImIFGLoEhEpxNAlIlKIoUtEpBBDl4hIIYYuEZFCDF0iIoUYukRECjF0iYgUYugSESnE0CUiUoihS0SkEEOXiEghhi4RkUIMXSIihRi6REQKvQVWpPcBBcImVwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for dt in random_forest_classifier.estimators_:\n",
    "    print(\"*\"*30, \"Estimator\", \"*\"*30)\n",
    "    tree.plot_tree(dt, rounded=True)\n",
    "    plt.show()\n",
    "    utils.plot_model(features, labels, dt)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# AdaBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8888888888888888"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import AdaBoostClassifier\n",
    "# Set the random_state so that we always get the same results\n",
    "adaboost_classifier = AdaBoostClassifier(random_state=0, n_estimators=6)\n",
    "adaboost_classifier.fit(features, labels)\n",
    "adaboost_classifier.score(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_model(features, labels, adaboost_classifier)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "estimators = adaboost_classifier.estimators_\n",
    "for estimator in estimators:\n",
    "    utils.plot_model(features, labels, estimator)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., 1., 1., 1.])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adaboost_classifier.estimator_weights_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gradient boosting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8888888888888888"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.ensemble import GradientBoostingClassifier\n",
    "gradient_boosting_classifier = GradientBoostingClassifier(random_state=0, n_estimators=5)\n",
    "gradient_boosting_classifier.fit(features, labels)\n",
    "gradient_boosting_classifier.score(features, labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_model(features, labels, gradient_boosting_classifier)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "estimators = gradient_boosting_classifier.estimators_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As an example, let us plot the first of the estimators."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "utils.display_tree(estimators[0][0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# XGBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8888888888888888"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import xgboost\n",
    "from xgboost import XGBClassifier\n",
    "xgboost_classifier = XGBClassifier(random_state=0, n_estimators=5)\n",
    "xgboost_classifier.fit(np.array(features), labels)\n",
    "xgboost_classifier.score(np.array(features), labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "utils.plot_model(features, labels, xgboost_classifier)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
